MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. A) 2, 0 B) 2, 25 C) 2, 0, 25 D) 2, 0, 0 4

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1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Select from the list of numbers all that belong to the specified set. ) Integers, 7, -7, 0, 0, 9 A), 0, 9 B), -7, 0, 0, 9 C), 0 D), -7, 0 ) Natural numbers, 7, -9, 0, 0, A), 0 B), C), 0, D), 0, 0 3) Real numbers 7,, -9, 0, 0-7,, 0 A) 7, -9, 0, 0, -7 0 B) 7, -9, 0, 0, C) 7, -9, 0, D) 7,, -9, 0, 0, ) Rational numbers 8,, -, 0, 0 -,, 7 0, 0. A) 8, -, 0, 0 7,, 0. B), C), 0, 0. D) 8, 0, 7 ) Irrational numbers,, -7, 0, 0 -,, 0, 0.8 A),, 0.8 B), C), - 0 D) ) Rational numbers -, 0. 0, 7 8, 8.3,, 0. A) -, 0. 0, 7 8, 8.3, B) 7 8 C) 7 8,, 0. D) -, 0. 0, 8.3, 0.,

2 7) Irrational numbers -, , 7, 8.,., 0.9 A) 7 B) 7,., 0.9 C) 7, 0.9 D) -, , 0.9,. For the measured quantit, state the set of numbers that is most appropriate to describe it. Choose from the natural numbers, integers, or rational numbers. 8) Populations of cities A) Rational numbers B) Natural numbers C) Integers 9) Hat sizes A) Natural numbers B) Integers C) Rational numbers 0) Temperatures given in a winter weather forecast in Alaska A) Rational numbers B) Natural numbers C) Integers ) Temperatures given in a weather forecast in Caembe, Equador (this town is on the equator) A) Rational numbers B) Integers C) Natural numbers ) Numbers of sales of cakes at a baker A) Integers B) Natural numbers C) Rational numbers 3) The lengths of randoml cut pieces of string (measured using a ruler) A) Natural numbers B) Rational numbers C) Integers ) The populations of armies of termites living in the walls of houses A) Natural numbers B) Integers C) Rational numbers ) The lengths of randoml cut pieces of string measured to the nearest inch A) Integers B) Rational numbers C) Natural numbers ) The average speeds of race cars for one lap at Wilmot Speedwa A) Integers B) Natural numbers C) Rational numbers 7) The number of cars sold in an average month at Bob's Auto Sales A) Integers B) Rational numbers C) Natural numbers

3 Write the number in scientific notation. 8) 7,00,000 A) B) C) 7. 0 D) ) A) B).8 0 C).8 0- D).8 0-0) 790,000 A) B) C) D) ) 900 A) B) C) D) 9. 0 ) A) 0-8 B) 0 - C) 0-7 D) 0-9 Write the number in standard form. 3).9 0 A),900,000 B) 77. C),90,000 D) 9,000 ) A) 0,00,000 B),00,000 C) 00,00,000 D) 80. ) A) 7,88,900 B) 78,890 C) 37. D) 7,889 ) A) B) C) -7,000 D) ) A) B) -339,00 C) D) ).7 0- A) B) C) D) -,7,000 3

4 9) A) -03,0,000 B) C) D) Use a calculator to approimate the epression. Write our answer in scientific notation, and round to the nearest tenth as needed. 30) (.8 0 )( ) 3) A) B) C) 8 0 D) A).8 0 B) C) D) ) (. 0 ) + ( ) A). 0 B) C). 0-7 D) Use a calculator to evaluate the epression. Round our answer to the nearest thousandth. 33) 3 07 A).7 B) 7.07 C) 3.77 D).77 3) + π 3 A) 9.7 B) 8.77 C).30 D) ) - π A) 9.88 B) C) D) ) A) B) C) D) ).3 (. ) - ( ) + A) 73.8 B) 79.8 C) 7.8 D) 0.8 Find the percent change if a quantit changes from P to P. Round our answer to the nearest tenth if appropriate. 38) P = $8, P = $ A) -0. B) 7.3 C) 0. D) -7.3

5 39) P =.3, P =.3 A). B) -. C) 30. D) -30. Use the information given in the table to solve the problem. 0) The table gives the Consumer Price Inde for selected ears. Year CPI What is the percent change (to the nearest tenth of a percent) in prices from 9 to 980? A).7 % B) 0. % C).3 % D) 3. % ) The table gives the Consumer Price Inde for selected ears. Year CPI What is the percent change (to the nearest tenth of a percent) in prices from 90 to 97? A).8 % B) 7 % C) % D).8 % ) The table gives the Consumer Price Inde for selected ears. Year CPI Use the concept of an average or mean to estimate the CPI in 9. A) 3.9 B) 3 C) 3. D) 3. 3) The table gives the Consumer Price Inde for selected ears. Year CPI Use the concept of an average or mean to estimate the CPI in 9. A).9 B).8 C) 0. D). ) The table gives the value of a 97 Chev BelAire in # condition for selected ears. Year Value in dollars ,0,93 What is the percent change (to the nearest tenth of a percent) in the value of a 97 Chev BelAir in # condition from 98 to 98. A) % B).9 % C).3 % D) 30.3 % ) The table gives the value of a 97 Chev BelAire in # condition for selected ears. Year Value in dollars ,,0 Use the concept of an average or mean to estimate the value of a 97 Chev BelAire in # condition in 983. A) $ B) $ C) $ 99.3 D) $ 990.0

6 ) The table gives the value of a 97 Chev BelAire in # condition for selected ears. Year Value in dollars ,03,9 What is the percent change (to the nearest tenth of a percent) in the value of a 97 Chev BelAir in # condition from 98 to 988? A).8 % B) 0.7 % C) 7. % D). % 7) The table gives the value of a 97 Chev BelAire in # condition for selected ears. Year Value in dollars ,39,939 Use the concept of an average or mean to estimate the value of a 97 Chev BelAire in # condition in 98. A) $ 0,7.8 B) $ 0,09.07 C) $ 0,0.3 D) $ 0,98.00 Solve. Write results using scientific notation. 8) Assume that the volume of the earth is.0 0 cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how man would it contain? A) bacteria B) bacteria C).8 03 bacteria D) bacteria 9) A computer can do one calculation in seconds. How long would it take the computer to do a trillion (0) calculations? A) sec B).9 0 sec C).9 0 sec D).9 0 sec 0) The national debt of a small countr is $,90,000,000 and the population is,,000. What is the amount of debt per person? A) $. 0 B) $.0 0 C) $. D) $. 03 ) A compan produced 9,000 small appliances in one ear and made a profit of $7,00,000. What was the profit on each appliance? A) $. 0 B) $. 0- C) $8. D) $8. 0- ) The earth is approimatel 9,900,000 miles from the sun. If mile =. 03 m, what is the distance to the sun in meters? A).0 00 m B).0 0 m C) m D).7 00 m 3) The distance from the earth to the sun is 9,900,000 miles. How long would it take a rocket, traveling at.9 03 miles per hour, to reach the sun? A) 3. 0 hr B) hr C) 3. 0 hr D) 3. hr

7 ) A light-ear is the distance that light travels in one ear. Find the number of miles in a light-ear if light travels.8 0 miles per second. A).9 0 miles B).9 07 miles C).9 0 miles D).9 0 miles ) The following equation gives the number of atoms in 390 g of fluorine. How man atoms are there? A = 390 g Fl mole Fl 9.0 g Fl atoms mole Fl A).3 0 atoms B). 0 atoms C).93 0 atoms D). 0 atoms Solve the problem. ) A comet has a nearl circular orbit around a star with a radius of 330 million miles and requires 8. earth ears to complete one orbit. Estimate the orbital speed of the comet in miles per hour. Round to the nearest mile per hour. A) 8,7 mph B) mph C) 89,0 mph D),3,3 mph 7) An oil spill of 397 cubic centimeters is spilled onto a pond and spreads out in a circular shape having a diameter of 7 centimeters. Approimate the thickness of the oil film to four decimal places. A).0 cm B) cm C) cm D).00 cm Plot each number on a number line. 8) -., 0,, A) B) C) D)

8 9) 0.8, -0., -, A) B) C) D) ) 0, -0, 300, A) B) C) D) ) -30, 0, 0, A) B) C) D) Find the mean of the set of data. Round to the nearest tenth. ) 3, 9,,, 7, 0, 3,, A) 7.8 B) 0.8 C) 7.9 D) 8.0 3) 0, 9,, 7, 70, 3,,, A) 8.9 B). C) 3.8 D).7 8

9 ) 3,,, 3, 3,,,,,,,, A).9 B). C).3 D). ) 80,, 3, 3,, 80,,,, 80,,, 3 A) 38. B) 37.9 C) 3.7 D) 0.9 ) 9,, 3, 3, 3, 3,,,,,, A) 7. B) 7.7 C) 7. D) 8. 7) 0, 3,, 7, 7, 3,, 0, 0, 7, 3, 3 A) 3. B) 3.8 C).8 D). Find the median of the set of data. 8), 0, 7, 3, 3, 3, 0 A) B) 3 C) 7 D) 3 9), 30, 0, 8, 0, 7, 80 A) 0 B) 0 C) 0 D) 8 70) 9,, 8,, 7, 0, 33 A) 7 B) 8 C) D) 33 7) 9,,, 7,, 8 A) 7 B) 3. C) 0. D) 7) 8,, 7, 7, 9, 0, 37, 3 A) 7 B) 9 C). D) 8 73) 39, 0, 8,,, 3, 9, 30, 39, 30 A) 7. B) 9 C) D) Find the distance in the -plane between the two points. Round an approimate result to the nearest hundredth. 7) (, 0) and (0, 9) A) 3 B) 3.87 C) 30 D) 7) (, 7) and (, 3) A) B).90 C) D) 0 9

10 7) (-, ) and (-9, -) A) - B) C). D) 77) (-, ) and (3, -) A).93 B) C) 7. D) 78) (-, -) and (0, -8) A) 3. B) 0 C) D).3 79) (7.3,.) and (.3, 7.) A).97 B) C) 8.9 D). 80) (., -0.) and (., -.) A) B).7 C) 8.9 D). Find the midpoint of the line segment joining the two points. 8) (7, 0) and (9, ) A), B) -, - C) -, - D) 8, 8) (, -) and (-, 0) A) -, - 3 B) 3, - 3 C) -, - D), - 83) (-, -) and (3, 9) A) -, - B) -, - C), 3 D), 3 8) (-, -3) and (, -8) A) -, B), - C), - D) - 3, 8) -, 3 and, - 9 A) 0, 3 B) -, 3 C) 00, D) 0, - 3 8) (7, - 0) and (-, 0) A) 3 0, - 30 B) ( -, 0) C), 0 D) 3, - 0 0

11 87) (-, ) and (0, 3) A) ( -, + 3) B), - 3 C) - + 3, D) -, + 3 Find the domain and range of the relation. 88) {(-,9), (3,-), (,-3), (,-), (7,-8)} A) D = {-8, -, 9, 3, -}; R = {, -3,, -, 7} B) D = {,, 7, -, 3}; R = {-3, -, -8, 9, -} C) D = {, -3,, -, 7}; R = {-8, -, 9, 3, -} D) D = {-3, -, -8, 9, -}; R = {,, 7, -, 3} 89) {(8,), (-8,), (,), (,-)} A) D = {,,, -}; R = {8,, -8} B) D = {8,, -8, }; R = {,,, -} C) D = {8,, -8, -}; R = {,,, -} D) D = {8,, -8}; R = {,,, -} 90) {(0,-), (0,-9), (-9,-7), (-,-3), (,)} A) D = {-,, 0, -9}; R = {-3,, -9, -7, -} B) D = {-, -,, 0, -9}; R = {-3,, -9, -7, -} C) D = {-3,, -9, -7, -}; R = {-, -,, 0, -9} D) D = {-, -,, 0, -9}; R = {-3,, -9, -7, -} 9) {(-,-8), (-,), (-8,9), (-8,)} A) D = {-, -, -8, -8}; R = {, -8, 9, } B) D = {-, -, -8, 8}; R = {, -8, 9, } C) D = {, -8, 9, }; R = {-, -, -8} D) D = {-, -, -8}; R = {, -8, 9, } 9) {(-7,-), (-,), (-8,-), (8,-3)} A) D = {-8, -7, -, 8}; R = {-, -,, -3} B) D = {-8, -7, -, 8}; R = {-, -, -,, -3} C) D = {-8, -7, -, 8}; R = {-,, -,, -3} D) D = {-, -,, -3}; R = {-8, -7, -, 8} 93) {(-7,-9), (-3,-8), (-,-0), (, -7), (8,)} A) D = {-9, -8, -0, -7}; R = {-7, -3, -, } B) D = {-7, -3, -,, 8}; R = {-9, -8, -0, -7, } C) D = {-9, -8, -0, -7, }; R = {-7, -3, -,, 8} D) D = {-7, -3, -, }; R = {-9, -8, -0, -7} 9) {(-., -8.99), (-8.07,-.3), (-3.,-3.07), (.97, -0.), (.3,.)} A) D = {-., -8.07, -3.,.97,.3}; R = {-8.99, -.3, -3.07, -0.,.} B) D= {-8.99, -.3, -0.,.}; R = {-., -8.07, -3.,.97} C) D = {-., -8.07,.97,.3}; R= {-8.99, -.3, -3.07, -0.} D) D = {-8.99, -.3, -3.07, -0.,.}; R = {-., -8.07, -3.,.97,.3} Plot the relation in the -plane.

12 9) {(0, 3), (-3, -), (, ), (-8, -0), (-, 9)} A) B) C) D)

13 9) {(0, 3), (-3, -0), (0, ), (-7, -0), (-0, )} A) B) C) D)

14 97) {(0.,.3), (-.3, -.), (., -0.), (0.7, -0.), (-, 0.9)} A) B) C) D)

15 98) {(0, 3), (-3, ), (, ), (-, -0), (-, 7)} A) B) C) D)

16 99) {(0, 3), (, -9), (0, ), (-78, -0), (-0, 3)} A) B) C) D)

17 00) {(0.,.3), (-.3, ), (., -0.), (0., -0.), (-, 0.)} A) B) C) D)

18 0) {(0, -), (-, -), (-7, 0), (-7, -0), (-, 7)} A) B) C) D)

19 0) {(0, ), (-7, -3), (-3, 0), (-77, -0), (-0, 0)} A) B) C) D)

20 03) {(0, -.), (-.,.), (-0.8, 0), (0.8, -0.), (-, 0.)} A) B) C) D) Make a scatterplot of the data. 0

21 0) {(-, -8),(-, -),(-, -),(-, -),(-, ),(-, -),(-, -7),(9, ),(-, -),(-, -3)} A) B) C) D)

22 0) {(0.7, 0.),(0.7, 0.3),(0., 0.0),(0., 0.3),(0.0, -0.8), (0.0, 0.9),(0.07, 0.89),(0., 0.)} - - A) B) C) D)

23 0) {(3, 0),(-9, ),(, ),(-9, -),(-, -),(8, 3),(3, 7),(, ),(-9, -),(-, )} A) 80 B) C) 80 D)

24 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Make a line graph of the data. 07) The following table shows the average tuition for one semester at Cit X College over various ears. Use time on the horizontal scale for our line graph. Average College Year Tuition 980 $ nswers ma var. A possible answer follows

25 08) The following table shows the number of computer sales made at Computer Bu over five months. Use time on the horizontal scale for our line graph. Number of Month Computers Sold nswers ma var. A possible answer follows

26 09) The following table shows the median teacher's salar in District X over several ears. Use time on the horizontal scale for our line graph. Average Salar, Year in thousands 980 $ nswers ma var. The following is a possible answer

27 0) The following table gives the average cost of producing a music video over the given ears. Use time on the horizontal scale for our line graph. Production Cost, Year in millions 98 $ nswers ma var. A possible answer follows

28 ) The following table gives the total amount of precipitation during the given months. Use time on the horizontal scale for our line graph. Total Precipitation, Month in Inches Nov.. Dec..7 Jan. 3.7 Feb..0 Mar.. April 7. Ma 8.8 nswers ma var. A possible answer follows Nov. Dec. Jan. Feb. Mar. April Ma MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the center and radius of the circle. ) + = A) Center: (0, 0), radius: B) Center: (, ), radius: C) Center: (0, 0), radius: D) Center: (, ), radius: 3) + = A) Center: (, ), radius: B) Center: (0, 0), radius: C) Center: (, ), radius: D) Center: (0, 0), radius: ) ( + ) + ( + ) = A) Center: (-, -), radius = B) Center: (, ), radius = C) Center: (-, -), radius = D) Center: (, ), radius = 8

29 ) + ( - 7) = A) Center: (0, 7), radius = B) Center: (7, 0), radius = C) Center: (0, -7), radius = D) Center: (0, 7), radius = ) ( - ) + = 8 A) Center: (-, 0), radius = 9 B) Center: (, 0), radius = 8 C) Center: (0, ), radius = 9 D) Center: (, 0), radius = 9 7) + = 3 A) Center: (0, 0), radius: B) Center: (0, 0), radius: 3 C) Center: (, ), radius: D) Center: (0, 0), radius: 8) = A) (, ), r = 8 B) (-, -), r = C) (, ), r = 8 D) (-, -), r = 9) = 3 A) (8, -), r = B) (, -8), r = 3 C) (-, 8), r = D) (-8, ), r = 3 0) = -7 A) (-9, -), r = B) (-, -9), r = C) (, 9), r = D) (9, ), r = ) + = + 3 A) (-, 0), r = 8 B) (-, 0), r = C) (, 0), r = 8 D) (, 0), r = ) = 0 A) (, 8), r = 8 B) (-, -8), r = C) (-, -8), r = 8 D) (, 8), r = 9

30 Use the graph to find the standard equation of the circle. 3) A) + = B) + = 8 C) + = 3 D) + = ) A) ( + 3) + ( - ) = B) ( - 3) + ( + ) = C) ( - 3) + ( + ) = D) ( + 3) + ( - ) = ) A) ( + ) + ( - 3) = B) ( + ) + ( - 3) = C) ( - ) + ( + 3) = D) ( - ) + ( + 3) = 30

31 ) A) + ( + ) = B) + ( - ) = C) ( + ) + = D) + ( + ) = 7) A) ( + ) + = B) ( + ) + = C) + ( + ) = D) ( - ) + = Find the standard equation of the circle that satisfies the conditions. 8) Center (-8, -0), radius 9 A) ( - 8) + ( - 0) = 8 B) ( + 0) + ( + 8) = 9 C) ( - 0) + ( - 8) = 9 D) ( + 8) + ( + 0) = 8 9) Center (, -3), radius A) ( - ) + ( + 3) = B) ( + ) + ( - 3) = C) ( - 3) + ( + ) = D) ( + 3) + ( - ) = 30) Center (-9, 0), radius A) + ( - 9) = B) ( + 9) + = C) + ( + 9) = D) ( - 9) + = 3

32 3) Center (0, 0), radius 0 A) ( - 0) + ( - 0) = 00 B) + = 0 C) + = 0 D) + = 00 3) Center (, -9) with the point (9, -) on the circle A) ( - 9) + ( + ) = 9 B) ( + 9) + ( - ) = 9 C) ( + ) + ( - 9) = D) ( - ) + ( + 9) = 33) Endpoints of a diameter (, ) and (-, 3) A) + C) = B) = D) = + - = Provide the requested response. 3) For the viewing rectangle [-0, 0, ] b [-8, 8, ], state the number of tick marks on the positive -ais. A) 8 B) C) 0 D) 3) For the viewing rectangle [0,, ] b [0,, ], state the number of tick marks on the positive -ais. A) B) C) D) 7 3) For the viewing rectangle [-3, 3, ] b [0,, ], state the number of tick marks on the positive -ais. A) 9 B) C) 7 D) 37) For the viewing rectangle [970, 00, 0] b [3,000, 9,000, 000], state the number of tick marks on the positive -ais. A) B) 8 C) 7 D) 38) For the viewing rectangle [970, 00, 0] b [3,000, 7,000, 000], state the number of tick marks on the positive -ais. A) 0 B) C) D) 7 3

33 39) Choose the correct viewing rectangle to match the settings: [ -8, 8, ] b [ -8, 8, ]. A) B) C) D) 33

34 0) Choose the correct viewing rectangle to match the settings: [ -3, 7, ] b [ -, 8, ]. A) B) C) D) 3

35 ) Choose the correct viewing rectangle to match the settings: [ -00, 00, 0 ] b [ -00, 00, 0 ]. A) B) C) D) 3

36 ) Choose the correct viewing rectangle to match the settings: [ -, 0, ] b [ -, 8, ] A) B) C) D) 3

37 3) Choose the correct viewing rectangle to match the settings: [ -, 0, ] b [ -,, ] A) B) C) D) ) If f(-9) = -7 identif a point on the graph of f. A) (9, -7) B) (-9, 7) C) (-9, -7) D) (-7, -9) ) If the point (-, 9.) lies on the graph of f, then f( ) =. A) f(-) = 0 B) f(-) = 9. C) f(0) = 9. D) f(9.) = - Graph f b hand b first plotting points to determine the shape of the graph. 37

38 ) f() = A) B) C) D)

39 7) f() = A) B) C) D)

40 8) f() = A) B) C) D)

41 9) f() = A) B) C) D)

42 0) f() = A) B) C) D)

43 ) f() = A) B) C) D)

44 ) f() = A) B) C) D)

45 3) f() = A) B) C) D)

46 ) f() = A) B) C) D)

47 ) f() = A) B) C) D) Evaluate the function as indicated. ) Find f() when f() = A) 9 B) -3 C) D) -9 7) Find g(a - ) when g() = -. A) a - 3 B) a - C) a - D) a + 7

48 8) Find f(-.3) when f() = -9. A) -9 B) -.3 C).7 D) 9 9) Find f(-) when f() = - -. A) B) C) 8 D) 30 0) Find f(k - ) when f() = + +. A) k + 3k + B) k - k + C) -k + k + D) k - k + ) Find f( 8) when f() = 3 +. A) 3 B) 9 C) 8 D) 3 ) Find f(t + ) when f() = + 3. A) t + B) t + 3 C) t + D) t + 3) Find f(-) when f() = - +. A) - 8 B) 8 C) - D) 8 3 Specif the domain of the function. ) f() = - A) 0 B) > 0 C) D) All real numbers ) f() = A) > 0 B) 0 C) All real numbers D) < 0 ) f() = - A) B) C) All real numbers D) > ( + 7)( - 7) 7) f() = - 9 A) > 9 B) 7, -7 C) All real numbers D) 9 8

49 8) f() = - A) All real numbers B) C) > 0 D) - ( + )( - ) 9) f() = + A) B), - C) > D) All real numbers 70) f() = + ( + )( - ) A) -, -, B) All real numbers C) > 0 D) -, -, 7) f() = - A) = - B) All real numbers C) 0 D) - Find the domain and the range for the function. 7) A) D: 3, R: 0 B) D: 3, R: 0 C) D: All real numbers, R: All real numbers D) D: 0, R: - 9

50 73) A) D: > 0, R: > 0 B) D: 0, R: 0 C) D: 0, R: 0 D) D: All real numbers, R: All real numbers 7) A) D: 0, R: 0 B) D: >, R: 0 C) D:, R: 0 D) D: > 0, R: < 0 7) A) D: < 0, R: < 0 B) D: All real numbers, R: 0 C) D: > 0, R: D) D: < 0 or > 0, R: < 0 or > 0 0

51 7) A) D: All real numbers, R: 0 B) D: 9, R: 0 C) D: < 9, R: 0 D) D: < 9 or > 9, R: < 0 or > 0 77) A) D: < or >, R: < or > B) D: > 0, R: > C) D: All real numbers, R: All real numbers D) D: < - or > -, R: All real numbers 78) A) D: All real numbers, R: All real numbers B) D: < 3 or > 3, R: < or > C) D: < -3 or > -3, R: < - or > - D) D: < or >, R: < 3 or > 3

52 79) A) D: 0, R: 0 B) D: -, R: 0 C) D: 0, R: D) D:, R: 0 80) A) D: > 0, R: 0 B) D: >, R: 0 C) D: >, R: 0 D) D: All real numbers, R: All real numbers Use the graph to evaluate the function value. 8) f(-) A) - B) 0 C) D) For the given function epressed verball, give a graphical representation.

53 8) To convert inches to centimeters, multipl b.. Let = f() and 0 0. A) B) C) D)

54 83) To convert centimeters to inches, divide b.. Let = f() and 0. A) B) C) D)

55 8) To convert square ards to square feet, multipl b 9. Let = f() and 0 0. A) B) C) D)

56 8) To convert square feet to square ards, divide b 9. Let = f() and A) B) C) D)

57 8) Surveors use the "link" as a unit of measure. To convert links to inches, multipl b 7.9. Let = f() and 0 0. A) B) C) D)

58 87) Surveors use the "link" as a unit of measure. To convert inches to links, divide b 7.9. Let = f() and A) B) C) D)

59 88) Bob bus a car that gets 9 miles per gallon of gasoline. Give a representation to compute the number of miles,, that Bob can travel with gallons of gasoline. Let 0 0. A) B) C) D) Give a verbal representation for the given function. 89) f() =. Let = f(). A) To obtain : Square, then add to the result. B) To obtain : Add to, then square the result. C) To obtain : Square, then multipl the result b. D) To obtain : Multipl b, then square the result. 9

60 90) f() = -. Let = f(). A) To obtain : Multipl b, then subtract from the result. B) To obtain : Multipl b, then subtract from the result. C) To obtain : Divide b, then subtract from the result. D) To obtain : Subtract from, then multipl the result b. 9) f() = +. Let = f(). A) To obtain : Multipl b, then add to the result. B) To obtain : Divide b, then add to the result. C) To obtain : Add to, then divide the result b. D) To obtain : Multipl b, then divide the result b. 9) f() =. Let = f(). A) is equal to plus. B) is equal to. C) is equal to minus. D) is equal to times. 93) f() = +. Let = f(). A) To obtain : Add to. B) To obtain : If is positive or equal to zero, add to. If is negative, add to the opposite of. C) To obtain : Multipl b -, then add to the result. D) To obtain : Add to the opposite of. 9) f() = 8 -. Let = f(). A) To obtain : Multipl b -, then subtract 8 from the result. B) To obtain : Subtract 8 from. C) To obtain : Multipl 8 b -, then subtract from the result. D) To obtain : Subtract from 8. 9) f() = -. Let = f(). A) To obtain : Subtract from, then multipl the result times. B) To obtain : Multipl b, then subtract the result from. C) To obtain : Multipl b, then subtract the result from. D) To obtain : Add to, then add to the result. Use the table to solve the problem. 9) For a function f, we have the following numerical representation f() Evaluate f for = -. A) 0 B) C) 0 D) 0 0

61 97) For a function f we have the following numerical representation f() 7 7 Evaluate f for = -. A) B) 7 C) 0 D) 98) For a function f we have the following numerical representation = f() Evaluate f for =. A) 0 B) 8 C) D) 7 99) For a function f we have the following numerical representation =f() Evaluate f for = -. A) -0. B) -0. C) 0. D) 0. 00) For a function f we have the following numerical representation =f() Evaluate f for =. A) -0.9 B) -0. C) 3 D) 0.9 0) The cost in dollars of driving a certain make and model of car for miles is given b the function f. A numerical representation of f is given in the following table. 0 3 = f() Use the table to evaluate f for = 3. A) $.00 B) $.0 C) $3.00 D) $0.0

62 0) The cost in dollars of driving a certain make and model of car for miles is given b the function f. A numerical representation of f is given in the following table. 0 3 = f() If the cost is $.9, how man miles have been driven? A) 3 miles B) miles C) miles D) miles 03) The cost in dollars of driving a certain make and model of car for miles is given b the function f. A numerical representation of f is given in the following table. 0 3 = f() If the cost is $0.98, how man miles have been driven? A) miles B) miles C) 3 miles D) miles 0) The cost, in dollars, of a cab ride for miles is given b the function f in the following table. 3 =f() What is the cost of a -mile cab ride? A) $.0 B) $3. C) $. D) $. 0) The cost, in dollars, of a cab ride for miles is given b the function f in the following table. 3 =f() After mile has been driven, what is the cost of each additional mile? A) $0.7 B) $0.8 C) $0.7 D) $0.79

63 Determine if the relation is a function. 0) A) Function B) Not a function 07) A) Not a function B) Function 08) A) Function B) Not a function 3

64 09) A) Function B) Not a function 0) A) Not a function B) Function ) A) Not a function B) Function ) S={(7, -), (8, -3), (3, 0), (, -), (-7, -8)} A) Not a Function B) Function

65 3) S={(-9, -), (-8, -), (-8, 0), (-0, -), (-9, -9)} A) Function B) Not a Function ) ) A) Not a Function B) Function A) Not a Function B) Function Answer the question. ) In a gmnasium, a group of 3 students are individuall counted off b fours to determine teams; i.e. ",, 3,,,, 3,,,,..."? Is a function generated b a relation that takes a student's number as input and outputs the students name with that number? A) No B) Yes 7) In the equation = 3-0, is a function of? A) Yes B) No For the given function epressed verball, give a smbolic representation. 8) To convert inches to centimeters, multipl b.. Let = f(). A) f() = -. B) f() = /. C) f() =. D) f() =./ 9) To convert centimeters to inches, divide b.. Let = f(). A) f() =. - B) f() =./ C) f() = /. D) f() =. 0) To convert square ards to square feet, multipl b 9. Let = f(). A) f() = /9 B) f() = 9 C) f() = 9/ D) f() = 9 - ) To convert square feet to square ards, divide b 9. Let = f(). A) f() = 9/ B) f() = 9 C) f() = /9 D) f() = - 9 ) Surveors use the "link" as a unit of measure. To convert links to inches, multipl b 7.9. Let = f(). A) f() = 7.9 B) f() = /7.9 C) f() = 7.9/ D) f() = ) Surveors use the "link" as a unit of measure. To convert inches to links, divide b 7.9. Let = f(). A) f() = 7.9 B) f() = /7.9 C) f() = 7.9/ D) f() = 7.9 -

66 ) Bob bus a car that gets 9 miles per gallon of gasoline. Give a representation to compute the number of miles,, that Bob can travel with gallons of gasoline. Let = f(). A) f() = 9 B) f() = + 9 C) f() = 9/ D) f() = /9 Solve the problem. ) Assume the function f computes the number in millions of people using the internet in ear. f = {(99,.), (998,.3), (000, 9.8) Evaluate f(000) and give the domain and range of f A) f(000) = 9.8; D: {99, 998, 000}, R: {.,.3, 9.8} B) f(000) =.3; D: {.,.3, 9.8}, R: {99, 998, 000} C) f(000) = 9.8; D: {.,.3, 9.8}, R: {99, 998, 000} D) f(000) =.; D: {99, 998, 000}, R: {.,.3, 9.8} ) The stretch in a loaded spring varies with the load it supports. If the spring stretches.9 cm for ever pound of load added, find the distance in centimeters that the spring has stretched when 8 pounds are added. A). cm B).9 cm C) 8 cm D) -. cm Find the slope of the line that goes through the pair of points. 7) (, -8) and (, ) A) B) C) - D) 8) (-, -) and (3, 9) A) 7 B) Undefined C) 7 D) 9) (-, -3) and (-, ) A) - B) C) Undefined D) - 30) (-3, -9) and (, ) A) Undefined B) 3 C) D) - 3 3) (3, -8) and (3, ) A) Undefined B) C) D) 3) (-7, -9) and (, -9) A) 0 B) C) - D)

67 State the slope of the graph of f. 33) f() = + 8 A) 0 B) -8 C) 8 D) 3) f() = 3 + A) B) 3 C) 3 D) 0 Solve the problem. 3) The amount of mone, in dollars, raised each ear b a band booster club can be estimated b the function f() = 9-9,, where is the ear with What is the slope of the graph of f? A) 99 B) -9 C) -9, D) 9 3) The decline in the value of a stock can be estimated b the function f() = , where is the ear with What is the slope of the graph of f? A) 8 B) 37. C) -0. D) 0. State whether the given function is linear and constant, linear but not constant, or nonlinear. 37) f() = A) none of these B) linear, constant C) nonlinear D) linear, but not constant 38) f() = A) linear, but not constant B) linear, constant C) nonlinear D) none of these 39) f() = -. + A) linear, but not constant B) nonlinear C) linear, constant D) none of these 0) f() = A) linear, but not constant B) none of these C) nonlinear D) linear, constant ) f() = A) nonlinear B) linear, constant C) linear, but not constant D) none of these 7

68 ) f() = A) linear, but not constant B) none of these C) nonlinear D) linear, constant 3) f() = + A) linear, constant B) none of these C) linear, but not constant D) nonlinear Determine if the data in the table are linear or nonlinear. ) A) linear B) nonlinear ) ) A) nonlinear B) linear A) linear B) nonlinear 7) A) linear B) nonlinear 8) A) linear B) nonlinear 8

69 Identif the slope, -intercept, and -intercept. 9) A) Slope: 3; -intercept: ; -intercept: - B) Slope: -; -intercept: - ; -intercept: C) Slope: ; -intercept: - ; -intercept: D) Slope: ; -intercept: ; -intercept: - 0) A) Slope: 3; -intercept: ; -intercept: B) Slope: ; -intercept: -; -intercept: - C) Slope: -; -intercept: -; -intercept: - D) Slope: -3; -intercept: ; -intercept: 9

70 Write the equation of the line whose graph is shown. ) A) = B) = - 7 C) = D) = ) A) = + B) = - - C) = - D) = - 3) A) = 3 - B) = C) = -3 - D) =

71 ) A) = - + B) = - C) = - - D) = + ) A) = + 3 B) = - 3 C) = D) = Use the given graph to find the -intercept and the zero of the function. ) A) (3, 0); 3 B) (3, -); 3 C) (-, 0); - D) (0, 0); 0 7

72 7) A) (, 0); B) (0, 0); 0 C) (, ); D) (, 0); 8) A) (, 0); B) (, -7); C) (-7, 0); -7 D) (0, 0); 0 Write a formula for a linear function f whose graph satisfies the conditions. 9) Slope: - 33 ; -intercept: 7 7 A) f() = B) f() = C) f() = D) f() = ) Slope: - ; -intercept: 8 A) f() = B) f() = + 8 C) f() = D) f() = - 8 ) Slope: 3 ; -intercept: - A) f() = B) f() = 3 - C) f() = 3 + D) f() =

73 ) Slope: ; -intercept: 3 A) f() = - 3 B) f() = + 3 C) f() = D) f() = ) Slope: 7 ; -intercept: - A) f() = B) f() = C) f() = 7 - D) f() = 7 + ) Slope: ; passing through the origin A) f() = B) f() = C) f() = - D) f() = ) Slope:.; passing through (, 3.) A) f() =. +.3 B) f() =. +.9 C) f() = D) f() = Epress the following in interval notation. ) A) (-, ] B) [, ) C) (, ) D) (-, ) 7) < -0 A) [-0, ) B) (-, -0) C) (-0, ) D) (-, -0] 8) - < < - A) (-, -] [-, ) B) (-, -) C) [-, -] D) (-, -) (-, ) 9) < 0 A) [, 0) B) (, 0] C) (, 0) D) [, 0] 70) 0 > - A) (-, -] (0, ) B) (-, -) [0, ) C) (-, 0] D) [-, 0) 7) { -} A) [-, ) B) (-, ) C) (-, -) D) (-, -] 7) { > 9} A) (-, 9) B) [9, ) C) (-, 9] D) (9, ) 73

74 73) { 0 < } A) [0, ) B) (0, ) C) (-, 0] D) (-, 0) 7) { < - or > } A) (-, ) B) [-, ] C) (-, -) (, ) D) (-, -] [, ) 7) { < - or -} A) (-, -) [-, ) B) [-, -) C) (-, -] D) (-, -] (-, ) 7) 77) A) [, ) B) (-, ) C) (-, ] D) (, ) 78) A) (-, ) B) [, ) C) (-, ] D) (, ) 79) A) [-, ] B) [-, ) C) (-, ] D) (-, ) 80) A) (0, ] B) (-, 0] C) [0, ) D) [-, 0) 8) A) [-, ] B) [-, ) C) (-, ] D) (-, ) A) (0, ] B) (-, 0] C) [-, 0) D) [0, ) 7

75 8) A) (-, -) (3, ) B) [-, 3] C) (-, 3) D) (-, -] [3, ) 83) A) (-, -) (, ) B) (-, ) C) [-, ] D) (-, -] [, ) 8) A) (-, -) (0, ) B) (-, -) [0, ) C) [-, 0) D) (-, -] (0, ) 8) A) (-, 0) [, ) B) (-, 0) (, ) C) (-, 0] (, ) D) (0, ] Use the graph of f to determine the intervals where f is increasing and where f is decreasing. 8) A) increasing: (-, 0]; decreasing [0, ) B) increasing: (-, -]; decreasing [-, ) C) increasing: (-, ); decreasing: never D) increasing: [-, ); decreasing (-, -] 7

76 87) A) increasing: never; decreasing: (-, ) B) increasing: (-, ); decreasing: never C) increasing: (-, 0]; decreasing [0, ) D) increasing: [0, ); decreasing (-, 0] 88) A) increasing: [0, ); decreasing (-, 0] B) increasing: (-, ); decreasing: never C) increasing: never; decreasing: (-, ) D) increasing: (-, 0]; decreasing [0, ) 7

77 89) A) increasing: (-, 0]; decreasing [0, ) B) increasing: (-, ); decreasing: never C) increasing: (-, ]; decreasing [, ) D) increasing: [, ); decreasing (-, ] 90) A) increasing: (-, ); decreasing: never B) increasing: (-, 0]; decreasing [0, ) C) increasing: never; decreasing: (-, ) D) increasing: [0, ); decreasing (-, 0] 77

78 9) A) increasing: [, ); decreasing: (-, ] B) increasing: [0, 3]; decreasing: (-, 0] [3, ) C) increasing: [0, ); decreasing: (-, 0] D) increasing: (-, ] [, ); decreasing: [, ] 9) A) increasing: [-, ); decreasing: (-, -] B) increasing: [0, ); decreasing: (-, 0] C) increasing: [-, 0] [, ); decreasing: (-, -] [0, ] D) increasing: [-, ]; decreasing: (-, -] [, ) Identif where f is increasing and where f is decreasing. 93) f() = A) increasing: [, ); decreasing: never B) increasing: (-, ); decreasing: never C) neither D) increasing: never; decreasing: [, ) 9) f() = - A) increasing: never; decreasing: (-, ) B) increasing: [-, ); decreasing: (-, -] C) neither D) increasing: (-, ); decreasing: never 78

79 9) f() = -3 + A) neither B) increasing: [, ); decreasing: (-, ] C) increasing: (-, ); decreasing: never D) increasing: never; decreasing: (-, ) 9) f() = + 3 A) increasing: (-, ); decreasing: never B) increasing: [3, ); decreasing: never C) increasing: (-, 0]; decreasing [0, ) D) increasing: [0, ); decreasing (-, 0] 97) f() = - A) increasing: (-, 3]; decreasing [3, ) B) increasing: [, ); decreasing (-, ] C) increasing: (-, ]; decreasing [, ) D) increasing: [3, ); decreasing (-, 3] 98) f() = + A) increasing: (-, ]; decreasing [, ) B) increasing: [-, ); decreasing (-, -] C) increasing: (-, -]; decreasing [-, ) D) increasing: [, ); decreasing (-, ] 99) f() = - 8 A) increasing: [8, ); decreasing: never B) increasing: [-8, ); decreasing: never C) increasing: never; decreasing: [-8, ) D) increasing: never; decreasing: [8, ) 300) f() = A) increasing: never; decreasing: [8, ) B) increasing: [-8, ); decreasing: never C) increasing: never; decreasing: [-8, ) D) increasing: [8, ); decreasing: never 30) f() = - 7 A) increasing: (-, -7]; decreasing: [-7, ) B) increasing: (-, 7]; decreasing: [7, ) C) increasing: [-7, ); decreasing: (-, -7] D) increasing: [7, ); decreasing: (-, 7] 30) f() = + A) increasing: (-, -]; decreasing: [-, ) B) increasing: (-, ]; decreasing: [, ) C) increasing: [-, ); decreasing: (-, -] D) increasing: [, ); decreasing: (-, ] Identif where f is increasing or where f is decreasing, as indicated. Round our answer to two decimal places when appropriate. 303) f() = - + ; increasing A) [, ) B) (-, -] C) [-, ) D) (-, ] 30) f() = ; decreasing A) (-,] B) (-, -] C) [-, ) D) [, ) 79

80 30) f() = - ; increasing A) (-, 0.80] B) [-0.80, 0.80] C) [0.80, ) D) (-, ) 30) f() = ; decreasing A) [-.00,.00] B) (-, -.] [., ) C) (-, -.] D) [-.,.] 307) f() = ; decreasing A) (-, -.83) (-.,.) (.83, ) B) (-.83, -.) (.,.83) C) (-., 0) (., ) D) (-, -.) (0,.) Use the graph and formula for f() to find the average rates of change of f from - to - and from to. 308) f() = A) 3; -3 B) 3; 3 C) 0; 0 D) -3; ) f() = A) -; B) -; - C) ; D) ; 80

81 30) f() = A) -; - B) ; - C) ; D) -; 3) f() = A) -; B) -; - C) ; D) ; - 3) = A) -; B) -; - C) ; - D) ; 8

82 Compute the average rate of change of f from to. Round our answer to two decimal places when appropriate. Interpret our result graphicall. 33) f() = +, = - and = - A) 7; the slope of the line passing through (-, f(-)) and (-, f(-)) is 7. B) ; the slope of the line passing through (-, f(-)) and (-, f(-)) is. C) ; the slope of the line passing through (-, f(-)) and (-, f(-)) is. D) 8; the slope of the line passing through (-, f(-)) and (-, f(-)) is 8. 3) f() = , = - and = -3 A) -; the slope of the line passing through (-, f(-)) and (-3, f(-3)) is -. B) 3; the slope of the line passing through (-, f(-)) and (-3, f(-3)) is 3. C) -3; the slope of the line passing through (-, f(-)) and (-3, f(-3)) is -3. D) ; the slope of the line passing through (-, f(-)) and (-3, f(-3)) is. 3) f() = 3 -, = and = A) 8; the slope of the line passing through (, f()) and (, f()) is 8. B) ; the slope of the line passing through (, f()) and (, f()) is. C) -8; the slope of the line passing through (, f()) and (, f()) is -8. D) -; the slope of the line passing through (, f()) and (, f()) is -. 3) f() = 3 -, = and = 3 A) 0.8; the slope of the line passing through (, f()) and (3, f(3)) is 0.8. B) -0.8; the slope of the line passing through (, f()) and (3, f(3)) is C) -0.7; the slope of the line passing through (, f()) and (3, f(3)) is D) 0.7; the slope of the line passing through (, f()) and (3, f(3)) is 0.7. Complete the following for the given f(). (i) Find f( + h). (ii) Find the difference quotient of f and simplif. 37) f() = - A) (i) h - (ii) h B) (i) - (ii) - C) (i) h - (ii) 0 D) (i) - (ii) 0 38) f() = -9 A) (i) -9-9h (ii) 9 B) (i) h (ii) -9 C) (i) h (ii) 9 D) (i) -9-9h (ii) -9 39) f() = - A) (i) + h - (ii) B) (i) + h - (ii) - C) (i) + h - (ii) D) (i) + h - (ii) 8

83 30) f() = + A) (i) + h + h + + h (ii) h + h + C) (i) + h + h + + h (ii) + h + B) (i) + h + + h (ii) h + D) (i) + h + h + + h (ii) + h + 3) f() = A) (i) + h + h h - 9 (ii) h + 9h + h C) (i) + h + h h - 9 (ii) + h + 9 B) (i) + h + h (ii) + 9 D) (i) + h + h h - 9 (ii) + + h Solve the problem. 3) The profit (in millions of dollars) for Allied Manufacturing can be approimated b f() = , where is the ear Approimate the average rate of change over a 7-ear period. Round our answer to three decimal places when appropriate. A).39 million dollars B).89 million dollars C).0 million dollars D) 3.9 million dollars 33) The profit (in millions of dollars) for Allied Manufacturing can be approimated b f() = , where is the ear Approimate the average rate of change over a 3-ear period. Round our answer to three decimal places when appropriate. A) -.8 million dollars B) 0.3 million dollars C) -0.7 million dollars D) million dollars 3) The following table gives the outside temperature in degrees Fahrenheit on a winter da in Death Valle, California. Time 7:00 am 8:00 am 9:00 am 0:00 am :00 am Temperature ( F) Calculate the average rate of change in temperature between 8:00 am and :00 am. Round our answer to two decimal places when appropriate. A). F B).33 F C) 3. F D).3 F 83

84 3) The distance D in feet that an object has fallen after t seconds is given b D(t) = t. (i) Evaluate D() and D(). (ii) Calculate the average rate of change of D from to. Interpret the result. A) (i) 3, 80 (ii) ; the object's average speed from to seconds is ft/sec. B) (i), 00 (ii) ; the object's average speed from to seconds is ft/sec. C) (i), 00 (ii) 8; the object's average speed from to seconds is 8 ft/sec. D) (i) 3, 80 (ii) 8; the object's average speed from to seconds is 8 ft/sec. 3) Let the number of gallons G of water drained from a pool after t hours be given b G(t) = 37-7t for 0 t. (i) Find G(t + h). (ii) Find the difference quotient. Interpret our result. A) (i) 37-7t + 7h (ii) -7; the pool is being emptied at a constant rate of 7 gal/hr. B) (i) 37-7t - 7h (ii) -7; the pool is being emptied at a constant rate of 7 gal/hr. C) (i) 37-7t + h (ii) ; the pool is being emptied at a constant rate of gal/hr. D) (i) 37-7t + 7h (ii) 7; the pool is being emptied at a constant rate of 7 gal/hr. 8