NAME
DATE
4-7
PERIOD
Skills Practice
Inverse Linear Functions
1.
2.
x
y
–9
–7
–5
–3
–1
–1
–4
–7
–10
–13
x
y
1
8
2
3.
x
y
6
–4
–2
–2
–1
3
4
0
1
4
2
2
0
5
0
4
2
{(8, 1), (6, 2), (4, 3),
(2, 4), (0, 5)}
{(-1, -9), (-4, -7), (-7, -5),
(-10, -3), (-13, -1)}
4. {(-3, 2), (-1, 8), (1, 14), (3, 20)}
{(-2, -4), (-1, -2),
(1, 0), (0, 2), (2, 4)}
5. {(5, -3), (2, -9), (-1, -15), (-4, -21)}
{(2, -3), (8, -1), (14, 1), (20, 3)}
{(-3, 5), (-9, 2), (-15, -1), (-21, -4)}
6. {(4, 6), (3, 1), (2, -4), (1, -9)}
7. {(-1, 16), (-2, 12), (-3, 8), (-4, 4)}
{(6, 4), (1, 3), (-4, 2), (-9, 1)}
{(16, -1), (12, -2), (8, -3), (4, -4)}
Graph the inverse of each function.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
8.
8
9.
y
8
−4
O
8
4
8x
−8
−4
y
4
4
4
−8
10.
y
4
O
8x
−8
4
O
−4
−4
−4
−4
−8
−8
−8
8x
Find the inverse of each function.
11. f (x) = 8x - 5
x+5
f -1(x) = −
8
2
14. f (x) = -16 + −
x
5
3
13. f (x) = −
x+9
12. f (x) = 6(x + 7)
4
x
f -1(x) = −
-7
6
4
f -1(x) = −
(x - 9)
3
3x + 5
15. f (x) = −
4
-4x + 1
16. f (x) = −
5
5
f -1(x) = −
(x + 16)
4x - 5
1 - 5x
f -1(x) = −
f -1(x) = −
2
3
4
17. LEMONADE Chrissy spent $5.00 on supplies and lemonade powder for her lemonade
stand. She charges $0.50 per glass.
a. Write a function P(x) to represent her profit per glass sold. P(x) = 0.50x - 5.00
x + 5.00
0.50
b. Find the inverse function, P -1(x). P -1(x) = −
c. What do x and P -1(x) represent in the context of the inverse function? x represents
the total profit and P -1(x) represents the number of glasses sold.
d. How many glasses must Chrissy sell in order to make a $3 profit? 16
Chapter 4
45
Glencoe Algebra 1
Lesson 4-7
Find the inverse of each relation.