Name: Period: Date:
Practice Worksheet: Inverse Functions and One-to-One
Determine if each pair of functions are inverses by NEATLY sketching the graphs of and on the same plane.
1]
Inverses – yes or no (circle one)
Explain:
2]
Inverses – yes or no (circle one)
Explain:
3]
Inverses – yes or no (circle one)
Explain:
Find the inverse of each function algebraically. Show all work. Give a restricted domain if needed.
4]
5]
6]
Neatly sketch the graph of the inverse function. Label the coordinates of the three anchor points on the inverse.
7]
8]
9]
Determine if
are inverses of each other by analyzing the table of ordered pairs.
10]
Inverses – yes or no (circle one)
Explain:
11]
Inverses – yes or no (circle one)
Explain:
12]
Inverses – yes or no (circle one)
Explain:
Use the horizontal line test to determine if the function is one-to-one. Make a quick sketch and state “YES” or “NO.”
13]
14]
15]
16]
f(x) is solid and g(x) is dashed in each graph. State the type of symmetry f(x) has with g(x) and state if they are inverses.
17]
Symmetry:
Inverses – yes or no (circle one)
18]
Symmetry:
Inverses – yes or no (circle one)
19]
Symmetry:
Inverses – yes or no (circle one)
BONUS 20] f(x) is shown.
Write the equation of its
inverse and give the
restricted domain.
BONUS 21] Find the equation of the inverse of the
function algebraically and give the restricted domain.
Show all work!
What is awesome about the inverse?
