Skills Practice Skills Practice for Lesson 9.1

Transcription

1 Skills Practice Skills Practice for Lesson.1 Name Date Shifting Awa Vertical and Horizontal Translations Vocabular Describe the similarities and differences between the two terms. 1. horizontal translation and vertical translation Problem Set The graph of a function is shown. Sketch each translation of the function. 1. Sketch the graph of f() 3.. Sketch the graph of g() 5. f() 00 Carnegie Learning, Inc. f () 3 g() Chapter Skills Practice 703

2 3. Sketch the graph of h( ).. Sketch the graph of k( 3). h() k() 5. Sketch the graph of f().. Sketch the graph of g(). f () g() 00 Carnegie Learning, Inc. 70 Chapter Skills Practice

3 Name Date 7. Sketch the graph of h( 5).. Sketch the graph of k( ). h() k() Graph each basic function f() and translation g() on the same grid.. f() and g() 10. f() and g() 5 g() f() 00 Carnegie Learning, Inc. Chapter Skills Practice 705

4 11. f() and g() 1. f() and g() ( 1) 13. f() and g() 1. f() and g() 3 00 Carnegie Learning, Inc. 70 Chapter Skills Practice

5 Name Date 15. f() and g() 1. f() and g() 5 Given the graph of a function and its translation, write an equation for the translation in terms of the function. 17. Write an equation for the translation in terms of f(). f () 00 Carnegie Learning, Inc. The translated graph is 5 units left of f(), so the equation for the translation is f( 5). Chapter Skills Practice 707

6 1. Write an equation for the translation in terms of g(). g() 1. Write an equation for the translation in terms of h(). h() 00 Carnegie Learning, Inc. 70 Chapter Skills Practice

7 Name Date 0. Write an equation for the translation in terms of k(). k() 1. Write an equation for the translation in terms of f(). 00 Carnegie Learning, Inc. f() Chapter Skills Practice 70

8 . Write an equation for the translation in terms of g(). g() 3. Write an equation for the translation in terms of h(). h() 00 Carnegie Learning, Inc. 710 Chapter Skills Practice

9 Name Date. Write an equation for the translation in terms of k(). k() 00 Carnegie Learning, Inc. Chapter Skills Practice 711

10 00 Carnegie Learning, Inc. 71 Chapter Skills Practice

11 Skills Practice Skills Practice for Lesson. Name Date Epanding, Contracting, and Mirroring Dilations and Reflections Vocabular Define each term using our own words. 1. dilation. reflection 3. line of reflection Problem Set The graph of a function f() is shown. Sketch the graph of the dilated function, g(). 00 Carnegie Learning, Inc. 1. Sketch the graph of g(), if g() f(). g() f(). Sketch the graph of g(), if g() 1 f(). f() Chapter Skills Practice 713

12 3. Sketch the graph of g(), if g() 1 3 f().. Sketch the graph of g(), if g() 1 f(). f() f() 5. Sketch the graph of g(), if g() 1 f().. Sketch the graph of g(), if g() 3f(). g() f() f() 00 Carnegie Learning, Inc. 71 Chapter Skills Practice

13 Name Date The graph of a function f() is shown. Sketch the graph of the reflected function, g(). 7. Sketch the graph of g(), if g() f().. Sketch the graph of g(), if g() f(). f() g() f(). Sketch the graph of g(), if g() f( ). 10. Sketch the graph of g(), if g() f( ). f() f() 00 Carnegie Learning, Inc. Chapter Skills Practice 715

14 11. Sketch the graph of g(), if g() f( ). 1. Sketch the graph of g(), if g() f( ). f() f() g() Given the graph of a function f() and its transformation g(), write an equation for g() in terms of f() f() g() f() g() 00 Carnegie Learning, Inc. The graph of g() is the graph of f() reflected in the -ais, so g() f(). 71 Chapter Skills Practice

15 Name Date f() g() g() f() 00 Carnegie Learning, Inc f() g() g() f() Chapter Skills Practice 717

16 1. 0. f() g() g() f() Complete the table to calculate the average rate of change for each function. 1. Complete the table to calculate the average rate of change from 0 to 10. Function Value at 0 Value at 10 Average Rate of Change f() f(0) 0 0 f(10) g() 0.5 g(0) g(10) h() h(0) 0 0 h(10) 10 0 f() g() h() f(10) f(0) g(10) g(0) h(10) h(0) Carnegie Learning, Inc. 71 Chapter Skills Practice

17 Name Date. Complete the table to calculate the average rate of change from 0 to 5. Function Value at 0 Value at 5 Average Rate of Change f() f(0) f(5) f() g() 0.1 g(0) g(5) g() h() h(0) h(5) h() 3. Complete the table to calculate the average rate of change from 0 to. Function Value at 0 Value at Average Rate of Change f() f(0) f() f() g() 0.5 g(0) g() g() 00 Carnegie Learning, Inc. h() 3 h(0) h() h(). Complete the table to calculate the average rate of change from 0 to 5. Function Value at 0 Value at 5 Average Rate of Change f() 3 f(0) f(5) f() g() 0. 3 g(0) g(5) g() h() 3 h(0) h(5) h() Chapter Skills Practice 71

18 Given a function, evaluate the function for each value. 5. If f() 3 and g() f(), evaluate f(5) and g(5). f(5) (5) g(5) f(5) 13. If f() and g() f(), evaluate f() and g(). 7. If f() 3 and g() f( ), evaluate f( 3) and g( 3).. If f() and g() f( ), evaluate f() and g().. If f() 0.5 and g() f( ), evaluate f() and g(). 30. If f() 3 7 and g() f( ), evaluate f(3) and g(3). 00 Carnegie Learning, Inc. 70 Chapter Skills Practice

19 Skills Practice Skills Practice for Lesson.3 Name Date Mirroring! Smmetr and Odd/Even Vocabular Identif which figure is an eample of the ke term. Eplain our answer. A. B even function 00 Carnegie Learning, Inc.. odd function Chapter Skills Practice 71

20 Problem Set Determine whether each function has a line of smmetr. If so, identif the line of smmetr. 1. Identif the line of smmetr for the function. The line of smmetr for the function is.. Identif the line of smmetr for the function Carnegie Learning, Inc. 7 Chapter Skills Practice

21 Name Date 3. Identif the line of smmetr for the function.. Identif the line of smmetr for the function ( 3). 00 Carnegie Learning, Inc. Chapter Skills Practice 73

22 5. Identif the line of smmetr for the function 3.. Identif the line of smmetr for the function Carnegie Learning, Inc. 7 Chapter Skills Practice

23 Name Date Classif each function as even, odd, or neither. Eplain our answer. 7. f() 3 If f() is even, then f() f( ). f( ) ( ) 3 ( ) 3 f() does not equal f( ) so f() is not even. If f() is odd, then f() f( ). f( ) ( 3 ) 3 f() f( ) so f() is odd.. f() 00 Carnegie Learning, Inc. Chapter Skills Practice 75

24 . f() 10. f() Carnegie Learning, Inc. 7 Chapter Skills Practice

25 Name Date 11. f() 3 1. f() 00 Carnegie Learning, Inc. Chapter Skills Practice 77

26 Classif the function shown in each graph as even, odd, or neither. Eplain our answer. 13. f() 5 3 The function is odd. Eplanations ma var; sample answer: Looking at the graph, for each value of, f() f( ). For eample, f() 0 f( ). 1. f() 5 00 Carnegie Learning, Inc. 7 Chapter Skills Practice

27 Name Date 15. f() 1. f() 3 00 Carnegie Learning, Inc. Chapter Skills Practice 7

28 00 Carnegie Learning, Inc. 730 Chapter Skills Practice

29 Skills Practice Skills Practice for Lesson. Name Date Machine Parts Solving Equations Graphicall Vocabular point of intersection identit consistent inconsistent Complete each statement with the correct term from the bo. 1. Two equations are if the graphs of the two equations have at least one point of intersection.. An is an equation that is true for all values of. 3. The is the location on a graph where two lines or functions intersect, indicating that the values at that point are the same.. Two equations are if the graphs of the two equations do not have a point of intersection. 00 Carnegie Learning, Inc. Problem Set Write an equation that represents each situation. 1. An online store charges $15 per T-shirt, plus a flat fee of $ for shipping. Write an equation for the total cost, c, of buing t T-shirts. c 15t. A kitchen store charges $ per dish, plus a flat fee of $ for shipping. If d is the number of dishes and c is the total cost, write an equation for the total cost of buing dishes. 3. A phone plan costs $30 per month, plus $0.10 for each tet message. If p is the total cost of the phone service and t is the number of tet messages sent and received, write an equation for the total cost of the phone service for one month. Chapter Skills Practice 731

30 . A phone plan costs $0 per month, plus $0.5 for each tet message. If p is the total cost of the phone service and t is the number of tet messages sent and received, write an equation for the total cost of the phone service for one month. 5. A bookstore charges $5 for hardcover books, plus $1.5 per item in shipping. Write an equation for the total cost, c, of buing b books.. An online music store charges $0. per song, plus $0.05 ta per song. Write an equation for the total cost, c, of buing s songs. Calculate the point(s) of intersection for each pair of functions algebraicall. 7. f() and g() ( 5)( ) 5 or f(5) 5 5 f( ) ( ) 1 The two points of intersection are (5, 5) and (, 1).. f() and g() 00 Carnegie Learning, Inc. 73 Chapter Skills Practice

31 Name Date. f() 5 1 and g() 10. f() 15 and g() f() 3 1 and g() ( 1) ( 1)( 1) 00 Carnegie Learning, Inc. Chapter Skills Practice 733

32 1. f() ( )( 1)( ) and g() 3 Use the given information to answer each question. 13. Compan A charges a flat fee of $5 per month plus $0.15 per tet message for phone service. Compan B charges a flat fee of $35 per month with unlimited tet messages. If Devon sends 0 tet messages during the month, which compan s plan would be less epensive? Compan A: c t c (0) Compan A s plan would cost $37 for the month, so compan B s plan would be less epensive for Devon. 1. Gm A charges a flat fee of $0 per month for members. Gm B charges a flat fee of $0 per month, plus $5 per visit. If Emil visits the gm 1 times each month, which gm would be less epensive? 00 Carnegie Learning, Inc. 73 Chapter Skills Practice

33 Name Date 15. Bookstore A charges $1 per book plus a $5 flat fee for shipping. Bookstore B charges $1 per book, plus a shipping fee of $1.50 per book. If Manisha wants to bu books, which compan should she bu them from? 1. Compan A charges a flat fee of $5 per month plus $1.0 per song for music downloads. Compan B charges a flat fee of $0 per month, plus $0.5 per song. If Jason downloads 35 songs during the month, which compan s plan would be less epensive? Solve for the point(s) of intersection graphicall. 17. f() 5 and g() 1 00 Carnegie Learning, Inc. g() f() The point of intersection is (, 1). Chapter Skills Practice 735

34 1. f() 3 and g() g() f() 1. f() 3 and g() 1 f() g() 00 Carnegie Learning, Inc. 73 Chapter Skills Practice

35 Name Date 0. f() 3 and g() 3 g() f() 00 Carnegie Learning, Inc. Chapter Skills Practice 737

36 00 Carnegie Learning, Inc. 73 Chapter Skills Practice