Instructor: KATHRYN SCHRADER Course: A Kathryn Elizabeth Schrader - Alg 1 Hon (2018 / DARNELL COOKMAN-INTEGRATED)

Transcription

1 Student: Date: Instructor: KATHRYN SCHRADER Course: A Kathrn Elizabeth Schrader - Alg Hon (28 / DARNELL COOKMAN-INTEGRATED) Assignment: Chapter Review. What are the variables of the graph shown to the right? Describe how the variables are related at various points on the graph. Cutting a Board Board Length Time What are the variables of the graph? Time and Cutting a Board Cutting a Board and Board Length Board Length and Time How are the variables related at various points on the graph? The board is being cut at regular time intervals. Each time the board is cut, the length of the board decreases, until the fifth and final cut, at which point the length remains the same indefinitel. The board is being cut at regular time intervals. Each time the board is cut, the length of the board decreases, until the fourth and final cut, at which point the length remains the same indefinitel. The board is being cut in half at regular time intervals. Each time the board is cut, the length of the board decreases, until the third and final cut, at which point the length remains the same indefinitel. ID:.. 2. Match the graph with its related table. Temp (F) Time Choose the correct answer below. Time Temperature ( F) 7 M. 3 9 M. M. 38 P.M. Time Temperature ( F) 7 M. 3 9 M. M. 2 P.M. 7 Time Temperature ( F) 7 M. 3 9 M. M. P.M. ID:..8 /

2 3. Graph each set of ordered pairs. Use words to describe the pattern shown in the graph. a. (, ), (, ), ( 2, 2), ( 3, 3), (, ) b. (, ), (, 9), ( 2, 8), ( 3, 7), (, ) c. ( 8, ), ( 8, ), ( 8, 2), ( 8, 3), ( 8, ) a. Choose the correct graph below. Which statement below best describes the pattern? The dependent variable is alwas, the independent variable increases b. When the independent variable increases b, the dependent variable decreases b. When the independent variable increases b, the dependent variable increases b. None of these b. Graph the set of ordered pairs, (, ), (, 9), ( 2, 8), ( 3, 7), (, ). Choose the correct graph below. Which statement below best describes the pattern? When the dependent variable increases b, the independent variable increases b. The independent variable increases b 2, the dependent variable increases b. When the independent variable increases b, the dependent variable decreases b. None of these c. Graph the set of ordered pairs, ( 8, ), ( 8, ), ( 8, 2), ( 8, 3), ( 8, ). Choose the correct graph below. Which statement below best describes the pattern? The independent variable increases b, the independent variable is alwas /

3 When The independent the independent variable variable is alwas increases 8, the b dependent, the dependent variable variable increases increases b. b. None of these ID:.2.. In the diagram below, what is the relationship between the number of heagons and the perimeter of the figure the form? Represent this relationship using a table, words, an equation, and a graph. Let = the number of heagons. Let = the perimeter of the figure. heagon 2 heagons 3 heagons Represent the relationship using a table. Complete the table below. Number of Heagons, 2 3 Perimeter, (Simplif our answers.) Ordered Pair (,) Represent the relationship using words. Multipl the number of heagons in each figure b, since all heagons will have at least () sides that contribute to the perimeter of the combined figure. Then add for the (2) unaccounted for sides on the left and right ends of the combined figure to get the entire perimeter. Represent the relationship using an equation. = (Simplif our answer. Tpe an epression using as the variable.) Represent the relationship using a graph. Choose the correct graph below () two four (2) four two ID: /

4 . For the table to the right, represent the relationship using words, an equation, and a graph. Then determine whether the relationship is a linear function Represent the relationship using words. Choose the correct answer below. The value of is si less than the quantit three times the value of. The value of is the square of the quantit three minus the value of. The value of is nine less than the square of the quantit two times the value of. The value of is ten times the value of. E. The value of is two more than the quantit five times the value of. F. The value of is the cube of the quantit seven plus the value of. Represent the relationship using an equation. = (Simplif our answer. Tpe an epression using as the variable.) Graph the relationship. Choose the correct graph below Is the relationship a linear function? No Yes ID: /

5 . Graph the function represented b the table below. Is the function linear or nonlinear? Graph the function. Is the function linear or nonlinear? Choose the correct answer below. Choose the correct graph below. The function is nonlinear. The function is linear ID: The cost C, in dollars, for pencils is a function of the number n of pencils purchased. Graph the function shown b the table to the right. Tell whether the function is linear or nonlinear. Choose the correct graph below. Pencil Cost Number of Pencils, n 2 2 Cost ($), C 2 3 Cost ($), C 8 Cost ($), C 3 Cost ($), C 3 Cost ($), C 3 Number of Pencils, n Number of Pencils, n Number of Pencils, n 3 Number of Pencils, n Is the function linear or nonlinear? Nonlinear Linear ID:.3. /

6 8. For the diagram below, the table gives the total number of small squares in figure number. What pattern can ou use to complete the table? Represent the relationship using words, an equation, and a graph. Figure Figure 2 Figure 3 Figure Number, Total Ordered Small Squares, Pair (,) (, ) 2 ( 2, ) 3 3 ( 3, 3) Represent the relationship in words. Choose the correct answer below. The total number of small squares is three raised to the figure number. The total number of small squares is four times the square of the figure number. The total number of small squares is the cube of the figure number. The total number of small squares is three times the figure number. Represent the relationship using an equation. = (Simplif our answer. Tpe an epression using as the variable.) Graph the points in the completed table. Choose the correct graph below. ID: Graph the linear function. = Use the graphing tool to graph the linear equation ID:.. /

7 . Graph the function rule. = 2 8 Use the graphing tool to graph the line ID:..9. The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach bus. The situation is represented b the function rule a = 3b. a. Make a table of values and graph the function rule. Is the graph continuous or discrete? Eplain. b. Suppose the coach spent $ 9 before ta. How man basketballs did she bu? a. Complete the following table of values. b 2 3 a (Simplif our answers.) Graph the function rule. Choose the correct graph below. a a a a b b b b Is the graph continuous or discrete? Eplain. Choose the correct answer below. The graph is discrete because onl whole number values of b have meaning. The graph is continuous because an value of b has meaning. The graph is discrete because an value of b has meaning. The graph is continuous because onl whole number values of b have meaning. b. She bought basketballs. ID: /

8 2. Write a function rule to represent the situation. the total cost C for g grams of bolts if each gram costs $.9 Write a function rule using C and g as variables. (Tpe an equation.) ID:.. 3. Write a function rule that represents the situation. The price p of a pizza is $.7 plus $.7 for each of the t toppings on the pizza. p = (Use integers or decimals for an numbers in the epresssion. Do not include the $ smbol in our answer.) ID:..3. Use a mapping diagram to determine whether the relation is a function. {(, 7), (, ), (, 9), ( 9, ), ( 3, ), (, )} Which of the following mapping diagrams represents the relation? Is the relation a function? Yes No ID:... What is f() for the function f() = +? f() = ID: /

9 . Use the vertical line test to determine whether each relation is also a function. Using the vertical line test, is this the graph of a function? No Yes ID: Sound travels about 3 m / s. The function d(t) = 3t gives the distance d(t), in meters, that sound travels in t seconds. How far does sound travel in s? d( ) = meters ID:.. 8. Find the range of the function for the given domain. f() = 3 ; { 2,,,,2} What is the range? Choose the correct answer below. {,,,,2} {, 7,,,3} {,,,,2} {, 7,,,2} ID: /

10 9. Find a reasonable domain and range for the function. Then graph the function. A car can travel 33 mi for each gallon of gasoline. The function d() = 33 represents the distance d(), in miles, that the car can travel with gallons of gasonline. The car's fuel tank holds 7 gal. Choose the correct domain below Choose the correct range below. d() 7 d() d() 7 7 d() 33 Choose the correct graph below. Distance (mi), d() 2 Gallons, Distance (mi), d() 2 Gallons, Distance (mi), d() 2 Gallons, Distance (mi), d() 2 Gallons, ID: /

11 2. A theater group is having a carwash fundraiser. The group can onl spend $ 32 on soap, which is enough to wash cars. Each car is charged $. a) If c is the total number of cars washed and p is the profit, which is the independent variable and which is the dependent variable? b) Is the relationship between c and p a function? Eplain. c) Write an equation that shows this relationship. d) Find a reasonable domain and range for the situation. a) Choose the correct independent and dependent variables below. The independent variable is p and the dependent variable is c. The independent variable is c and the dependent variable is p. b) Is the relationship between c and p a function? No, because some range values are mapped to more than one domain value. No, because some domain values are mapped to more than one range value. Yes, because each range value is mapped to onl one domain value. Yes, because each domain value is mapped to onl one range value. c) Write an equation that shows this relationship. Use function notation. () = d) A reasonable domain for this situtation is (2). A reasonable range for this situtation is (3). () p c(p) c p(c) (2) c p (3) p(c) c(p) ID: /

12 . Board Length and Time The board is being cut at regular time intervals. Each time the board is cut, the length of the board decreases, until the fourth and final cut, at which point the length remains the same indefinitel. 2. Time Temperature ( F) 7 M. 3 9 M. M. 38 P.M. 3. When the independent variable increases b, the dependent variable increases b. When the independent variable increases b, the dependent variable decreases b. The independent variable is alwas 8, the dependent variable increases b. 2/

13 . (,) (2,) (3,) () four 2 (2) two E. The value of is two more than the quantit five times the value of Yes The function is linear. 3/

14 7. Cost ($), C 3 Number of Pencils, n Linear 8. The total number of small squares is four times the square of the figure number /

15 a b The graph is discrete because onl whole number values of b have meaning C =.9g t. No Yes 7. 9, 8. {, 7,,,2} /

16 9. 7 d() Distance (mi), d() 2 Gallons, 2. The independent variable is c and the dependent variable is p. Yes, because each domain value is mapped to onl one range value. () p(c) c 32 (2) c 32 (3) p(c) 2 /