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Got Em

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Submitted By gwinnett01
Words 774
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Glencoe/McGraw-Hill

NAME ______________________________________________ DATE

7-8

NAME ______________________________________________ DATE

____________ PERIOD _____

7-8

Skills Practice

Practice

____________ PERIOD _____

(Average)

Inverse Functions and Relations

Inverse Functions and Relations
Find the inverse of each relation.

Find the inverse of each relation.

1. {(3, 1), (4, Ϫ3), (8, Ϫ3)}

2. {(Ϫ7, 1), (0, 5), (5, Ϫ1)}

1. {(0, 3), (4, 2), (5, Ϫ6)}

{(1, Ϫ7), (5, 0), (Ϫ1, 5)}

{(1, 3), (Ϫ3, 4), (Ϫ3, 8)}
3. {(Ϫ10, Ϫ2), (Ϫ7, 6), (Ϫ4, Ϫ2), (Ϫ4, 0)}

4. {(8, Ϫ2), (10, 5), (12, 6), (14, 7)}

5. {(Ϫ5, Ϫ4), (1, 2), (3, 4), (7, 8)}

4. {(0, Ϫ9), (5, Ϫ3), (6, 6), (8, Ϫ3)}

6. {(Ϫ3, 9), (Ϫ2, 4), (0, 0), (1, 1)}

{(Ϫ7, Ϫ3), (Ϫ1, 0), (9, 5), (13, 7)}

6. {(Ϫ4, 1), (Ϫ4, 3), (0, Ϫ8), (8, Ϫ9)}

{(12, Ϫ4), (7, 0), (Ϫ1, 9), (Ϫ5, 10)}

{(1, Ϫ5), (Ϫ1, Ϫ5), (8, Ϫ5)}

3. {(Ϫ3, Ϫ7), (0, Ϫ1), (5, 9), (7, 13)}

{(Ϫ2, Ϫ10), (6, Ϫ7), (Ϫ2, Ϫ4), (0, Ϫ4)} {(Ϫ9, 0), (Ϫ3, 5), (6, 6), (Ϫ3, 8)}

5. {(Ϫ4, 12), (0, 7), (9, Ϫ1), (10, Ϫ5)}

2. {(Ϫ5, 1), (Ϫ5, Ϫ1), (Ϫ5, 8)}

{(3, 0), (2, 4), (Ϫ6, 5)}

{(Ϫ2, 8), (5, 10), (6, 12), (7, 14)}

{(Ϫ4, Ϫ5), (2, 1), (4, 3), (8, 7)}

{(1, Ϫ4), (3, Ϫ4), (Ϫ8, 0), (Ϫ9, 8)}

{(9, Ϫ3), (4, Ϫ2), (0, 0), (1, 1)}

Find the inverse of each function. Then graph the function and its inverse.
Find the inverse of each function. Then graph the function and its inverse.

f Ϫ1(x)

xϭ4

9. f(x) ϭ x ϩ 2

1 ϭ ᎏᎏx
3

y

f Ϫ1(x)

ϭxϪ2

f (x )

x

O

1
4

10. g(x) ϭ 2x Ϫ 1

xϩ1
2

gϪ1(x) ϭ ᎏᎏ

12. y ϭ ᎏᎏx ϩ 2

g (x )

10. f(x) ϭ x ϩ 6 yes

3
2

hϪ1(x) ϭ 4x

O

y ϭ ᎏᎏx Ϫ 3

h (x )

g(x) ϭ x Ϫ 6

y

13. f(x) ϭ 2x no g(x) ϭ Ϫ2x

O

x

O

9. y ϭ 3x Ϫ 2

xϩ2
3

ϭxϪ3

y ϭ ᎏᎏ

g (x )

x

y

x

O

x

O

Determine whether each pair of functions are inverse functions.

2
3

11. h(x) ϭ ᎏᎏx

g Ϫ1(x)

(Lesson 7-8)

A24

x

O

8. g(x) ϭ 3 ϩ x

4 ϭ ᎏᎏx
3
f (x )

f (x )

x

O

f Ϫ1(x)

Lesson 7-8

8. f(x) ϭ 3x

Answers

7. y ϭ 4

3
4

7. f(x) ϭ ᎏᎏx

x

x

O

11. f(x) ϭ Ϫ4x ϩ 1 yes

12. g(x) ϭ 13x Ϫ 13 no

g(x) ϭ ᎏᎏ (1 Ϫ x)

h(x) ϭ ᎏᎏ x Ϫ 1

1
4
6
14. f(x) ϭ ᎏᎏ x
7
7 g(x) ϭ ᎏᎏ x
6

yes

1
13

15. g(x) ϭ 2x Ϫ 8 yes
1
2

h(x) ϭ ᎏᎏ x ϩ 4

16. MEASUREMENT The points (63, 121), (71, 180), (67, 140), (65, 108), and (72, 165) give the weight in pounds as a function of height in inches for 5 students in a class. Give the points for these students that represent height as a function of weight.

(121, 63), (180, 71), (140, 67), (108, 65), (165, 72)

13. f(x) ϭ x Ϫ 1 no

14. f(x) ϭ 2x ϩ 3 yes

15. f(x) ϭ 5x Ϫ 5 yes

REMODELING For Exercises 17 and 18, use the following information.
The Clearys are replacing the flooring in their 15 foot by 18 foot kitchen. The new flooring costs $17.99 per square yard. The formula f(x) ϭ 9x converts square yards to square feet.

g(x) ϭ 1 Ϫ x

g(x) ϭ ᎏᎏ (x Ϫ 3)

g(x) ϭ ᎏᎏ x ϩ 1

17. Find the inverse f Ϫ1(x). What is the significance of fϪ1(x) for the Clearys? f Ϫ1(x) ϭ ᎏᎏ;

Determine whether each pair of functions are inverse functions.

Glencoe Algebra 2

16. f(x) ϭ 2x yes
1
g(x) ϭ ᎏᎏ x
2

©

Glencoe/McGraw-Hill

1
2

17. h(x) ϭ 6x Ϫ 2 no
1
g(x) ϭ ᎏᎏ x ϩ 3
6

419

1
5

x
9

It will allow them to convert the square footage of their kitchen floor to square yards, so they can then calculate the cost of the new flooring.

18. f(x) ϭ 8x Ϫ 10 yes
1
5 g(x) ϭ ᎏᎏ x ϩ ᎏᎏ
8
4

Glencoe Algebra 2

18. What will the new flooring cost the Cleary’s? $539.70
©

Glencoe/McGraw-Hill

420

Glencoe Algebra 2

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