UNIT 1 Intro Skills. SKILLZ 1. Fill in the missing representation of the given function. VERBALLY ALGEBRAICALLY NUMERICALLY GRAPHICALLY.

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1 UNIT 1 Intro Skills REVIEW NAME: DATE: SKILLZ 1. Fill in the missing representation of the given function. VERBALLY ALGEBRAICALLY NUMERICALLY GRAPHICALLY = Time (hours) 6-3 Sodas (# cans) 0. Use the functions to answer the following: f() = 3 1 g() = 9 3 h() = a. f( 4) = b. g() = 0 find c. h() = d. f( + ) = 3. Linear functions Slope Intercept Form Standard Form Point Slope Form Write the equation of the line in slope intercept form that is perpendicular to = and contains (-0,) Graph 3 = 0 Write the equation of the line in point slope form that contains the points (-1,78) and (36,-93)

2 . Solve the following b the given method. Factoring Factoring Graphing (Calculator) = 0 = = 3 APPLICATIONS 6. From 1990 to 1996, the total number of radio stations that operated with a countr format can be approimated b the function R(t) = t + 0.8t 3.7t 3 for 0 t 6 where R(t) is the number of radio stations and t = 0 represents a. Graph with friendl window. Record here b. Find R(). What does it mean? c. When was there the greatest total number of radio stations that operated with a countr format? 7. Mr.Bean looks over the edge of the observation deck from the CN Tower. His glasses fall off, bummer. The table shows the height from the ground of his glasses over time. Graph the data with a friendl window. WINDOW Time(sec) min= min= Distance(ft) ma= scl= ma= scl= a. Mr.Bean thinks a linear model would represent the data the best. He is wrong. Eplain wh he is wrong, and what model would be more appropriate. b. Use regression and write the equation of our model. = c. Use the model to predict the height of his glasses at 7 seconds. d. Find the time at which his glasses will be 1600 feet in the air. e. When will his glasses smash into the ground? f. What does the -intercept represent?

3 Name: Date: Period: Unit REVIEW Functions and Limits Pre Calculus 1) Do the following pairs of input and output values represent a function:, 1, 4,0, 0, 1, 3,, and 4,3? If the don t, give a specific reason wh not. ) The hours ou sta awake is a function of the number of Monster drinks ou have in the evening. Identif the independent and dependent variables. 3) Use the graph to the right to approimate the following values to the nearest tenth. a. b. 0 c. If, then d. If 0, then the possible value(s) of are: 4) If the dependent variable is the number of kilometers ou can drive, and the independent variable is the amount of gas (measured in liters) in our car, write a sentence eplaining the meaning of 0 8. ) Tell if the graph below represents a function. 6) Name the basic function shown and write the equation. Function 7) Identif the domain intervals where each function is increasing, decreasing, and constant. Use interval notation. Inc: Dec: Constant: 8) Domain: Interval: Inequalit: Range: Interval: Inequalit:

4 9) Identif the values of each discontinuit, and write if it is removable or not. If it is nonremovable then classif the tpe. ) Give the value of each statement. a. f ( ) b. 1 c. f ( ) 1 d. f ( ) e. 1 f. f ( ) 11) Use it notation to represent the horizontal and vertical asmptotes. Horizontal Asmptote: 1) represents our numerical grade in precalculus based on the number of hours ou stud per da outside of school. Give a relevant domain and range for this function using inequalit notation. Vertical Asmptote: 13) has a vertical asmptote at 1. Create a table of values to determine the behavior of the graph at the vertical asmptote, then use it notation to eplain the behavior. Also, use a graphing calculator to determine the horizontal asmptote. 14) Sketch (freehand) a graph of a function that satisfies all of the following conditions: a. f ( ) 3 b. f ( ) 3 c. is increasing on, 3 d. f ( ) f ( ) 3 3 e. is constant on,

5 Pre Calculus Unit 3 Name: Date: Period: ID: 1 Unit 3 REVIEW Function Analsis Pre Calculus Find the domain of the indicated function. Write our answers using inequalit notation. Classif all discontinuities Absolute ma/min value(s): Domain: Local etrema that are NOT absolute: Increasing: Decreasing: Left End behavior: Right End behavior: Find the value of the given function at the indicated domain value ,, 17, ,,, 8. 1 Skillz Review: Solve or evaluate

6 Graph the following piecewise functions. Given the graph of, write out the function s equation. Use a linear epression ( ) for straight lines, absolute value if there is a V graph , 14., 1 1. Is the following function continuous? (SHOW WORK!) 11, 3, What value(s) of k would make the function continuous? 6 18, 1, Mr. Kell wants to create a rectangular feeding pen for his chickens, but onl has 80 meters of fencing. He decides to use the side of his house as one side of the pen. a. If represents the width of the pen, epress its area A in terms of. (The side of Kell s house is the length.) 18. Rewrite the function 1 7 as a piecewise function. b. What is the domain of the function A (determined b the phsical restrictions)? 19. A rectangle has its base on the ais and its two upper corners on the parabola 0. a. Draw this scenario on the coordinate plane to the right, and draw one possible rectangle. b. Label the base and height of our rectangle in terms of. c. Find the function that represents the area of the rectangle. d. What is the largest possible area of this rectangle? e. At what value should the rectangle be drawn for the largest area?