Chapter at a Glance FLORIDA. Benchmark Lesson Worktext CHAPTER 3 CHAPTER 3. Student Textbook. Chapter 3 Graphs and Functions 49.

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1 Graphs and Functions FLORIDA CHAPTER 3 Name Class Date Chapter at a Glance Copright b Holt McDougal. All rights reserved. Benchmark Lesson Worktet Student Tetbook Remember It? 51 5 Rev. MA.7.G Ordered Pairs Rev. MA.7.G Graphing on a Coordinate Plane MA.8.A Interpreting Graphs MA.8.A Functions MA.8.A Equations, Tables, and Graphs Stud It! Write About It! 8 CHAPTER 3 Chapter 3 Graphs and Functions 9

2 Vocabular Connections LA The student will relate new vocabular to familiar words. CHAPTER 3 Ke Vocabular Vocabulario Vokabilè continuous graph gráfica continua graf diskrè dependent variable variable dependiente varab depandan discrete graph gráfica discreta graf kontinèl domain dominio domèn function función fonkson independent variable variable independiente varab endepandan range recorrido o rango echèl on seri done relation relación relason vertical line test prueba de la línea vertical tès li vètikal To become familiar with some of the vocabular terms in the chapter, consider the following. You ma refer to the chapter, the glossar, or a dictionar if ou like. 1. The word continuous can mean without interruption. What do ou think a continuous graph might look like?. The word discrete can mean consisting of unconnected elements. What do ou think a discrete graph might look like? 3. The word dependent can mean reling on another. You know that the value of a variable in an equation can change. What do ou think determines the value of a dependent variable in an equation? Copright b Holt McDougal. All rights reserved. 50 Chapter 3 Graphs and Functions

3 Name Class Date Remember It? 3-1 THROUGH 3- Review skills and prepare for future lessons. Lesson 3-1 Ordered Pairs (Student Tetbook pp ) Rev. MA.7.G..3 Determine whether (8, 3) is a solution of the equation = - 6. = Substitute 8 for and 3 for. Simplif. ( 8, 3 ) is not a solution. Use the given values to make a table of solutions. = 5-1 for = 1,, (1) -1 (, ) (1, ) 5() -1 9 (, 9) 3 5(3) -1 1 (3, 1) Determine whether each ordered pair is a solution of the given equation. 1. (5, 5) for = 5. (9, 3) for = 0.3 Copright b Holt McDougal. All rights reserved. 3. (-, 5) for = + 9. (15, - 1 ) for = Use the given values to make a table of solutions. 5. = 3 + for = 0, 1,, 3, 6. = for = 0,,, 6 8 3() + (, ) (, ) 8 Lesson Tutorial thinkcentral.com Chapter 3 Graphs and Functions 51

4 Lesson 3- Graphing on a Coordinate Plane (Student Tetbook pp ) Graph A(3, -1), B(0, ), C(0, -3), and D(1, 0) on a coordinate plane. Rev. MA.7.G O 1 3 C B D 1 A Find the distance between points B and C in the graph above. Find the difference between the -coordinates. Then take the absolute value of the difference to find the vertical distance between the points. Distance = -3 - or = - (-3) When finding the absolute value of = -7 = 7 = 7 = 7 the difference, order doesn t matter. The points are 7 units apart. Graph each point on the coordinate plane. 7. A ( 3, ) 8. B (-1, 0 ) 9. C ( 0, -5) 10. D ( 1, -3) 11. E ( 0, ) 1. F (-3, -5) 13. G ( 5, 0 ) 1. H ( 7, 8 ) 15. J ( 0, 0 ) O Find the distance between each pair of points. 16. A and B 17. B and C A 1 6 F Copright b Holt McDougal. All rights reserved. 18. D and E 19. F and E -1-6 O 6 1 B -6 C D -1 E 5 Chapter 3 Graphs and Functions Lesson Tutorial thinkcentral.com

5 Eplore It! Appl It! 3-3 Name Class Date Eplore It! Interpreting Graphs MA.8.A.1.1 Create and interpret tables, graphs, and models including analsis of the difference between discrete and continuous data. Investigate Two Kinds of Graphs In this activit, ou'll eplore how different situations require different kinds of graphs. Activit 1 1 Use algebra tiles to form a rectangle with a length of units and a width of 1 unit as shown below. Record the perimeter in units of this 1 rectangle in the table at right. Length (l) Perimeter ( P ) Use algebra tiles to form four more rectangles, each with a width of 1 unit, and each with a different length between 1 and 8 units. Record the lengths and perimeters in the table. 3 Plot the ordered pairs on the coordinate grid. Describe the pattern in the points ou plotted. 0 Graph 1 Copright b Holt McDougal. All rights reserved. Tr This 1. Find three other points that represent the relationship between length and perimeter.. Use the graph to estimate the perimeters of rectangles with these lengths: Perimeter (P) Length (l) l = 6.5 P = l = 3 P = 3. Can ou calculate the perimeter of an rectangle ou drew in the grid, including those with fractional and decimal lengths? Eplain. 3-3 Interpreting Graphs 53

6 Eplore It! Appl It! Activit At a carnival, a ticket for each ride costs $. No matter how man tickets ou bu, ou are asked to donate $ more to the animal shelter. So, the cost of 3 tickets would be (3 ) + = 6 + = $8. 1 Choose four other different ticket number totals. Use numbers between 1 and 8. For each total, record the number of tickets (n) and the total cost (c) in the table of ordered pairs. Number n Cost c ($) Plot the ordered pairs on the coordinate plane. Graph 3 Describe the pattern in the points ou plotted. 16 Tr This. Find three other points that represent the relationship between number of tickets and total cost. Cost c ($) Number (n) Draw Conclusions 5. In Activit 1, ou found the perimeters of rectangles with lengths of 6.5 and _ 3 Would it make sense here to find the total cost of 6.5 or _ 3 tickets? Eplain.. 6. Consider the points (, 10) and (5, 1) on the graph in each activit. Can ou find an ordered-pair solution between these points that makes sense for one activit but not the other? How man ordered-pair solutions eist between these points on each graph? 7. How would Graphs 1 and differ if ou plotted all the points that made sense on each graph? Copright b Holt McDougal. All rights reserved Interpreting Graphs

7 Eplore It! Appl It! 3-3 Name Class Date MA.8.A.1.1 Create and interpret tables, graphs, and models including analsis of the difference between discrete and continuous data. Interpreting Graphs (Student Tetbook pp ) Lesson Objective Interpret information given in a graph and make a graph to model a situation Vocabular continuous graph discrete graph Eample 1 The graphs show the speeds of two cars over time. Tell which graph corresponds to each situation. Graph 1 Graph Copright b Holt McDougal. All rights reserved. Speed Time Speed Time A. Mr. Lee is traveling on the highwa. He slows down and pulls over, stops, and then accelerates rapidl as he gets back on the highwa. Graph : The speed until it becomes zero, then the speed. B. Ms. Montoni drives at a constant speed and then slows down as she leaves a main road. She continues to slow down as she turns onto other streets and eventuall stops in front of her house. Graph : The speed is and then the speed at various rates until it finall becomes. Lesson Tutorial thinkcentral.com 3-3 Interpreting Graphs 55

8 Eplore It! Appl It! Check It Out! 1. Tell which graph corresponds to the situation. Graph 1 Graph Height Height Time Time A kite flew for a few minutes, and then suddenl fell to the ground. Eample Create a graph for each situation. Tell whether the graph is continuous or discrete. A. The table shows the temperature inside a car over time. Time 8:00 8:30 1:00 1:30 Temp. (ºF) Since ever value of has a corresponding, connect the points. The graph is. B. A market sells pumpkins for $5 each. The ( -ais) increases b $5 for each purchased (-ais). Because each person can bu whole pumpkins or none at all, the graph is distinct points. The graph is. Temperature ( F) Cost (F) :00 9:00 10:00 11:00 Time Pumpkin Costs 1: Pumpkins Purchased Copright b Holt McDougal. All rights reserved Interpreting Graphs Lesson Tutorial thinkcentral.com

9 Eplore It! Appl It! Check It Out! Create a graph for each situation. Tell whether the graph is discrete or continuous. a. The table shows the amount of mone in Yuri s bank account at the end of each da. Da 1 3 Amount ($) $80 $50 $50 $180 b. The table shows the water temperature in a swimming pool over hours. Hour 1:00 AM 3:00 AM 6:00 AM 9:00 AM 1:00 PM 3:00 PM 6:00 PM 9:00 PM Copright b Holt McDougal. All rights reserved. Temperature ( F) Lesson Tutorial thinkcentral.com 3-3 Interpreting Graphs 57

10 3-3 Eplore It! Appl It! Name Class Date LA The student will organize information...through mapping... Interpreting Graphs Think and Discuss 1. Give a situation that, when graphed, would include a horizontal segment.. Get Organized Complete the graphic organizer. Fill in the boes b writing the definition of each tpe of graph and b sketching an eample of each tpe of graph. Tpes of Graphs Continuous Graph Discrete Graph Definition Eample Definition Eample Copright b Holt McDougal. All rights reserved Interpreting Graphs

11 Eplore It! Appl It! 3-3 Name Class Date Interpreting Graphs MA.8.A.1.1 Create and interpret tables, graphs, and models including analsis of the difference between discrete and continuous data. The table gives the prices of two different stocks over the first few hours of trading. Tell which stock corresponds to each situation described below. Time 9:30 10:30 11:30 1:30 1:30 Stock 1 $6.50 $6.00 $5.00 $.00 $.50 Stock $55.00 $55.5 $55.50 $56.00 $ The stock price rises steadil over the first few hours of trading.. The stock price declines steadil over the first few hours of trading. Create a graph for each stock in the table above. 3. Stock 1. Stock Copright b Holt McDougal. All rights reserved. 5. Jenn studies 3 hours per math test throughout the ear. The table shows the total number of hours she studied. Create a graph based on the data. Tell whether the graph is continuous or discrete. Number of Tests Total Time Studing (h) This is a graph. 3-3 Interpreting Graphs 59

12 3-3 Eplore It! Appl It! Name Class Date Appl It! Interpreting Graphs MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analze, and solve problems related to linear equations Albert goes for a bike ride. The graph represents his distance from home over time. Use the graph for 1.. How would the graph be different if the -ais were Total Distance Ridden instead of Distance from Home? Distance from Home a b c d e Time 1. Use the five parts of the graph to describe Albert s ride. 5. Etended Response Describe a situation that can be graphed in four distinct parts labeled a, b, c, and d. Then sketch and label a graph to represent the situation.. Based on the graph, what can ou conclude about Albert s average speed riding awa from home versus riding toward home? Copright b Holt McDougal. All rights reserved. 3. Wh are no vertical segments in this graph? Interpreting Graphs

13 Eplore It! Appl It! 3- Name Class Date Eplore It! Functions MA.8.A.1.1 Create and interpret tables, graphs, and models including analsis of domain and range Also MA.8.A.1.5. Investigate Restricted Values When ou make a table or graph of a real-world relationship, ou have to consider the tpes of numbers that make the relationship work. Activit 1 1 Use a metric ruler to measure the height of stacks of 1, 3, 5, 7, and 9 algebra tiles in millimeters. Record the measurements in the table. Number of tiles Height (mm) Create a graph of the data in the table. Use the number of tiles as the -value and the height as the -value for each point. Copright b Holt McDougal. All rights reserved. 3 Could each of the numbers below represent the number of tiles in the table or graph? Eplain Write a rule to describe the kind of numbers that are reasonable to use in number 3 above. Tr This Suppose ou had a different set of tiles and each was.7 mm high. Eplain whether each number below could represent the height of the tiles in the graph. Height (mm) Number of tiles Write a rule to describe the kind of numbers that are reasonable to use for the heights of different stacks of tiles. 3- Functions 61

14 Eplore It! Appl It! Activit Understanding what values are reasonable for a situation can help ou decide whether a graph of the situation will be discrete or continuous. 1 A train travels at a constant speed of 30 miles per hour. The equation = 30 describes the distance in miles the train travels in hours. Time (h) Distance (mi) Create a graph of the data in the table. 3 Consider the possible values for the time in hours. Eplain how man possible points on the graph could lie between the -values of 0 and. Should the graph be continuous (connected) between 0 and? Eplain. Distance (mi) Tr This. Should the graph above be continued to the left side of the -ais? Eplain Time (h) 5. List 5 reasonable -values for the time that are not included in the table. 6. List 5 unreasonable -values for the time in the graph. Draw Conclusions 7. If the reasonable -values of a function are restricted to whole numbers, will the graph of the function be continuous or discrete, or is it impossible to sa? Eplain. Copright b Holt McDougal. All rights reserved Functions

15 Eplore It! Appl It! 3- Name Class Date MA.8.A.1.1 Create and interpret tables, graphs, and models including analsis of domain and range Also MA.8.A.1.5. Functions (Student Tetbook pp ) Lesson Objective Represent functions with tables, graphs, or equations Vocabular relation domain range function independent variable dependent variable vertical line test Copright b Holt McDougal. All rights reserved. Eample 1 Give the domain and range of each relation. A Domain: Range: B Domain: Range: Lesson Tutorial thinkcentral.com 3- Functions 63

16 Eplore It! Appl It! Check It Out! Give the domain and range of each relation. 1a Domain: Range 1b Domain: Range: Eample Make a table and a graph of = Check It Out!. Make a table and a graph of = O Copright b Holt McDougal. All rights reserved O Functions Lesson Tutorial thinkcentral.com

17 Eplore It! Appl It! Eample 3 Determine if each relation represents a function. A. 3 3 The input = has outputs, = and =. The input = 3 also has more than one output. The relation is. B. - - O - - Ever input (domain value) has output (range value), so the relation is. Check It Out! Determine if each relation represents a function. Copright b Holt McDougal. All rights reserved. 3a b O Lesson Tutorial thinkcentral.com 3- Functions 65

18 3- Eplore It! Appl It! Name Class Date LA The student will organize information through mapping Functions Think and Discuss 1. Describe the domain and range for =.. Describe how to tell if a relation is a function. 3. Identif the function, the domain, the range, the independent variable, the dependent variable, and an input and its output. = (-1) ( 0 ) ( 1 ) Get Organized Complete the graphic organizer. Fill in the boes b completing the mapping diagram, the table, and the graph for the function whose equation is given. Different Was to Represent a Function Mapping Diagram Domain Range Domain Equation = + Table Range -5 Graph 5 O -5 5 Copright b Holt McDougal. All rights reserved Functions

19 Eplore It! Appl It! 3- Name Class Date Functions MA.8.A.1.1 Create and interpret tables, graphs, and models including analsis of domain and range Also MA.8.A.1.5. Give the domain and range of each relation Domain: Domain: Range: Range: Domain: Domain: Copright b Holt McDougal. All rights reserved. Range: Determine if each relation represents a function. Range: 5. = Make a table and a graph of = O Functions 67

20 3- Eplore It! Appl It! Name Class Date Appl It! Functions MA.8.A.1.1 Create and interpret tables, graphs, and models including analsis of domain and range Also MA.8.A.1.5. A cclist rides for 3 hours at an average speed of 0 miles per hour. Use this information for The equation = 0 shows the distance the cclist travels in hours. Make a table for the equation.. Is the relation between the time and the distance the cclist rides discrete or continuous? Give an eample of a domain value to eplain our answer About how far does the cclist ride in 1.5 hours? Distance (miles) 3. Make a graph of the equation Time (hours) 3. What are the domain and range of the relation? 6. Suppose the cclist continues riding for an additional hour. After hours, the cclist has ridden 7 miles. What can ou conclude about the cclist s speed during the th hour? 7. Gridded Response According to the graph, if the cclist has ridden 55 miles, for how man hours has the cclist been riding? Copright b Holt McDougal. All rights reserved Functions

21 Eplore It! Appl It! 3-5 Name Class Date Eplore It! Equations, Tables, and Graphs MA.8.A.1.5 Translate among verbal, tabular, graphical and algebraic representations of linear functions. Eplore Representations of Functions Eplore Representations of Functions In this activit, ou will interpret information in equations, tables, and graphs to help ou translate among these representations. Point 1 Point Point 3 Activit 1 Choose three points from Graph 1 below. Record the coordinates of each point in the table at the right. Repeat Step 1 for Graphs, 3, and. Graph 1 Graph Graph 3 Graph Graph Graph 8 6 Copright b Holt McDougal. All rights reserved O O Graph 3 Graph O O Equations, Tables, and Graphs 69

22 Eplore It! Appl It! 3 Match each table of ordered pairs below with the graph it represents. Write the number of the graph in the blank above the table. Graph Graph Graph Graph Use the tables of ordered pairs to help ou match each equation below with the graph it represents. Write the number of the graph in the blank beside the equation. = + Graph = - 1 Graph = Graph = + 1 Graph Tr This Write increase or decrease. 1. In Graph, -values as -values increase.. In the graph of the equation = - + 3, -values as -values increase. 3. In the table of ordered pairs for = + 1, -values as -values increase. Draw Conclusions. In Step 3 of the activit, how did ou match the tables of ordered pairs with the graphs the represent? 5. In Step, how did ou match the equations with the graphs the represent? Copright b Holt McDougal. All rights reserved. 6. Do ou think it is alwas possible to translate among an equation, a table of values, and a graph of a relation? Eplain Equations, Tables, and Graphs

23 Eplore It! Appl It! 3-5 Name Class Date MA.8.A.1.5 Translate among verbal, tabular, graphical and algebraic representations of linear functions. Also: MA.8.A.1.1. Equations, Tables, and Graphs (Student Tetbook pp. 1 17) Lesson Objective Generate different representations of the same data Eample 1 The height h h in feet of an airplane s seconds from take-off is h = 1s. Make a table and sketch a graph of the function. h s h A identifies values that make the function true A is a visual image of the values in the table. Time (seconds) Height (feet) s Copright b Holt McDougal. All rights reserved. Check It Out! 1. The height h in feet of a helicopter s seconds from take-off is 15s. Make a table and sketch a graph of the function. s h Lesson Tutorial thinkcentral.com 3-5 Equations, Tables, and Graphs 71

24 Eplore It! Appl It! Eample Use the table to make a graph and to write an equation for the function Look for a pattern in the values: O -1 = = 1-1 Each value of is than the value of. less - 1 = - 1 = 3-1 Check It Out!. Use the table to make a graph and to write an equation for the function O Copright b Holt McDougal. All rights reserved Equations, Tables, and Graphs Lesson Tutorial thinkcentral.com

25 Eplore It! Appl It! Eample 3 Use the graph to make a table and to write an equation for the function. d t Look for a pattern in the values: = (0) + = (1) + Each value of d is more than t d 6 = () + the value of t. 8 = (3) +. Copright b Holt McDougal. All rights reserved. Check It Out! 3. Use the graph to make a table and to write an equation for the function. t d d O - -8 t Lesson Tutorial thinkcentral.com 3-5 Equations, Tables, and Graphs 73

26 3-5 Eplore It! Appl It! Name Class Date LA The student will organize information...through mapping... Equations, Tables, and Graphs Think and Discuss 1. Which representation of data do ou think gives the most accurate information? Justif our answer.. Which representation of data do ou think shows the relationship most quickl? Justif our answer. 3. Get Organized Complete the graphic organizer. Fill in the boes b writing an advantage of each tpe of representation over the others. Different Was to Represent a Function Equation Table Graph Advantage Advantage Advantage Copright b Holt McDougal. All rights reserved Equations, Tables, and Graphs

27 Eplore It! Appl It! 3-5 Name Class Date Equations, Tables, and Graphs MA.8.A.1.5 Translate among verbal, tabular, graphical and algebraic representations of linear functions. 1. Morgan charges $5 plus $10 an hour to cut lawns on the weekend. How much will Morgan earn if he works 6 hours? a. Complete the table. b. Make a graph Earnings ($) c. Write an equation representing Morgan s earnings Hours Worked. Use the table to make a graph and to write an equation. Copright b Holt McDougal. All rights reserved = 3. Use the graph to make a table and to write an equation O O = Equations, Tables, and Graphs 75

28 3-5 Eplore It! Appl It! Name Class Date Appl It! Equations, Tables, and Graphs MA.8.A.1.5 Translate among verbal, tabular, graphical and algebraic representations of linear functions. Water is draining from an aquarium tank. The graph shows the number of gallons of water g in the tank after m minutes. Use the graph for 1 7. Water (gallons) Time (minutes) 1. Complete the table of values relating the number of gallons in the tank g after m minutes.. Write an equation relating the number of gallons in the tank g after m minutes. 5. Is 8.5 a reasonable range value for this situation? Eplain. 6. Is this graph of this situation discrete or continuous? Justif our answer. Minutes m Gallons g 0. How man gallons of water are in the tank before the tank starts to drain? 0 7. Short Response Give an eample of a domain value and a range value that are not reasonable for this situation. Eplain wh each is not reasonable. Copright b Holt McDougal. All rights reserved. 3. How man gallons of water drain from the tank in one minute? In two minutes? In three minutes? Equations, Tables, and Graphs

29 Name Class Date Got It? Read to Go On? Go to thinkcentral.com 3-3 THROUGH 3-5 Quiz for Lessons 3-3 through Interpreting Graphs (Student Tetbook pp ) Tell which graph corresponds to each situation below. Graph 1 Graph Distance from home Distance from home Time Time 1. Gwendoln started from home and walked to a friend s house. She staed with her friend for a while and then walked to another friend s house farther from home.. Francisco started from home and walked to the store. After shopping, he walked back home. 3- Functions (Student Tetbook pp ) 3. The table shows the costs of various numbers of tickets to a theme park. Copright b Holt McDougal. All rights reserved. Tickets Cost ($) a. Graph the data in the table. b. Is the graph is discrete or continuous? c. What are the domain and range of the relation in the table? 3-5 Equations, Tables, and Graphs (Student Tetbook pp. 1 17). Use the graph to make a table and to write an equation. - - O - The equation of the line is - Chapter 3 Graphs and Functions 77

30 3-3 THROUGH 3-5 Name Class Date Connect It! MA.8.A.1.1, MA.8.A.1.5 Connect the concepts of Lessons 3-3 through 3-5 Penn Patterns The figure shows the first three stages of a pattern made of pennies. 1. Make a table for the pattern where represents the stage of the pattern and represents the number of pennies in that stage of the pattern.. Graph the data. Is the graph discrete or continuous? Justif our answer. 3. Suppose ou have 8 pennies. What is the greatest stage of the pattern ou could make with the pennies? Justif our answer. Stage 1 Stage Stage Set the Table! 1. Cop the numbers shown below onto eight small slips of paper Arrange the numbers in a table like the one at right. Your goal is to make four ordered pairs that are a function. When ou have found an arrangement, write the numbers in the table. Think About the Puzzler 3. Describe an strategies ou used to find an arrangement that works. Copright b Holt McDougal. All rights reserved.. Is it possible to create a different function? Eplain. 78 Chapter 3 Graphs and Functions

31 FLORIDA Name Class Date Stud It! Multi-Language Glossar Go to thinkcentral.com CHAPTER 3 Vocabular (Student tetbook page references) continuous graph dependent variable discrete graph domain function independent variable range relation vertical line test Complete the sentences below with vocabular words from the list above. 1. The of a relation is the set of -values of the ordered pairs.. A ( n ) is a mathematical relation in which each input corresponds to eactl one output. Lesson 3-3 Interpreting Graphs (Student Tetbook pp ) MA.8.A.1.1, The graphs show the temperature of the liquids in two mugs over time. Tell which graph corresponds to which situation. MA.8.A.1.5 Copright b Holt McDougal. All rights reserved. Temperature Height above ground Graph 1 Time Graph 1 Time Temperature Height above ground Graph Time Water at room temperature is heated quickl in a microwave. Then the water slowl cools to room temperature. Graph The temperature rises sharpl and then graduall decreases. Hot water in a mug slowl cools to room temperature, and then remains at room temperature. Graph 1 The temperature decreases and then remains constant. The graphs show the height above ground of two elevators over time. Tell which graph corresponds to the situation. Graph Time 3. An elevator starts at the third floor, then makes a stop at the first floor, and goes up to the fifth floor. Lesson Tutorial thinkcentral.com Chapter 3 Graphs and Functions 79

32 Lesson 3- Functions (Student Tetbook pp ) Give the domain and range of each relation MA.8.A.1.1, MA.8.A.1.5 Domain: 3, 6, 9 Range: -, -6, -8 Domain: -, 0, Range: 0 Make a table and a graph of = O Give the domain and range of each relation Domain: Range: 6. Make a table and a graph of = Domain: Range: Copright b Holt McDougal. All rights reserved. - - O - 80 Chapter 3 Graphs and Functions Lesson Tutorial thinkcentral.com

33 Lesson 3-5 Equations, Tables, and Graphs (Student Tetbook pp ) MA.8.A.1.5, MA.8.A.1.1 Use the table to make a graph and to write an equation Each value of is 8 times the corresponding value of, so the equation is = = = 8 = = 8 0 = 8 5 Use the graph to make a table and to write an equation O = = = = -1 Each value of is one less than the corresponding value of, so the equation is = Use the table to make a graph and write an equation Copright b Holt McDougal. All rights reserved The equation is. 8. Use the graph to make a table and write an equation O The equation is. Lesson Tutorial thinkcentral.com Chapter 3 Graphs and Functions 81

34 Name Class Date Write About It! LA The student will relate new vocabular to familiar words. Think and Discuss Answer these questions to summarize the important concepts from Chapter 3 in our own words. 1. Eplain how the terms domain, range, independent variable, and dependent variable relate to the input and output values of a function.. Eplain the difference between continuous data and discrete data. 3. Eplain how to tell if a relation is a function b eamining the domain and range values.. Eplain how to write an equation from data in a table. Copright b Holt McDougal. All rights reserved. Before The Test I need answers to these questions: 8 Chapter 3 Graphs and Functions