A 10-1
Name _____________________________________ Date ______________ Period _________
Graphs of Inverses
Find the inverse of the relation.
1. {(0,-4),(-4,3),(3,2),(2,1)}
2. {(1,-4),(3,-2),(0,-6),(-3,2)}
inverse: ____________________________
inverse: ____________________________
Match the graph with the graph of its inverse.
3. ______
-4
4. ______
5. ______
6
6
6
6
4
4
4
4
2
2
2
2
-2
2
4
-4
-2
-2
2
4
-4
-2
-2
a.
2
4
-4
-2
-2
b.
-4
6. ______
c.
6
6
6
4
4
4
4
2
2
2
2
2
-2
4
-4
-2
2
-2
4
4
2
4
d.
6
-2
2
-2
-4
-2
2
-2
4
-4
-2
-2
Graph each of the following functions. Then graph the line y = x as a dashed line and reflect those
points across the line to find graph of the inverse. Determine if the inverse is a function.
7. f(x) = x2 - 1
Is the inverse a function? ________
A 10-1
8. f(x) = 
2
x3
3
Is the inverse a function? ________
9. f(x) = x³ + 1
(You may make a table if you’d like)
Is the inverse a function? ________
10. f(x) = 4
Is the inverse a function? ________
REVIEW
A 10-1
11. What is the effect on the graph of the equation y  2x2 when the equation is changed
to y  2x2 ?
12. The function y  x2  4 is transformed to the function y  x2  6 .
How is each point on the curve of the first function shifted?
Multiply.
13. (2x – 3)(x + 2)
14. (x – 4)²
Factor completely.
15. x² + 9x + 18
16. x² – 11x + 18
17. 4x² + 8x + 3
18. x² + 2x – 48
Equations of Inverses
Write an equation for the inverse of the relation.
19. y = 2x – 3
20. y = x2 + 9
y-1 = _______________
21. y = 2x² + 6
y-1 = _______________
22. y = 9x – 14
A 10-1
y-1 = _______________
y-1 = _______________
Write the equation of the inverse. Graph y = x as a dotted line, and then graph the following
relation and its inverse on the same set of axes.
23. f(x) = -x + 2
f-1(x) = ______________
Is the inverse a function? ________
24. f(x) = 2x2 + 4
f-1(x) = ______________
Is the inverse a function? ________