##### Notes

This printable supports Common Core Mathematics Standard HSF-BF.B.4, HSF-BF.B.4c

##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

# Finding Inverse Function Values from Tables (Grade 10)

Print Test (Only the test content will print)

## Finding Inverse Function Values from Tables

1.
Some of the values of $f(x)$, an invertible function, are given in the following table. What is the value of $f^{-1}(1) ?$

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $1$ $8.9$ $2$ $5.3$ $3$ $3$ $4$ $1$ $5$ $-7.5$
1. 8.9
2. 1
3. -7.5
4. 4

2.
Find the value of $f^{-1}(-5.5)$, given the values of $f(x)$ in the following table. Assume that $f(x)$ has an inverse.

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $-6$ $-20.5$ $-5.5$ $-11.5$ $-5$ $-5.5$ $-4.5$ $-3.5$ $-4$ $-1.5$
1. -5
2. -11.5
3. -3.5
4. -5.5
3.
The following table gives some of the values of $f(x)$, a function which has an inverse. Using this information, find $f^{-1}(-4)$.

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $-6$ $8$ $-5$ $4$ $-4$ $0$ $-3$ $-4$ $-2$ $-8$
1. -4
2. 0
3. -3
4. -5

4.
What is the value of $f^{-1}(6)$, given the following table? Assume that $f(x)$ has an inverse.

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $1/36$ $6$ $1/6$ $10$ $1$ $23$ $6$ $54$ $36$ $103$
1. $10$
2. $1/36$
3. $54$
4. It cannot be determined with the information given.
5.
Determine the value of $f^{-1}(0.4)$, given the following table. Assume that $f(x)$ has an inverse.

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $0$ $2.5$ $0.4$ $2$ $0.8$ $1$ $1.2$ $0.4$ $1.6$ $-0.4$
1. 1.2
2. 2
3. 1.6
4. -0.4

6.
For the invertible function $f(x)$, find the value of $f^{-1}(-2)$, given the following table.

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $-2$ $2$ $-1$ $1$ $0$ $0$ $1$ $-1$ $2$ $-2$
1. 2
2. 1
3. 0
4. -2
7.
Using the following table, what is the value of $f^{-1}(-1/4)$, given that $f(x)$ has an inverse?

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $-4$ $1$ $-1$ $1/4$ $2$ $-1/2$ $5$ $-5/2$ $8$ $-2$
1. $1$
2. $-1$
3. $1/4$
4. It cannot be determined with the information given.

8.
Given that $f(x)$ is invertible, what is the value of $f^{-1}(4) ?$ Use the following table.

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $0$ $-5$ $2$ $-4$ $4$ $2$ $6$ $4$ $8$ $8$
1. -4
2. 2
3. 4
4. 6
9.
If $f(x)$ is an invertible function, some of whose values are in the following table, what is the value of $f^{-1}(0) ?$

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $-1$ $-10$ $-0.5$ $-4$ $0$ $-2$ $0.5$ $0$ $1$ $0.5$
1. 1
2. 0
3. 0.5
4. -2

10.
The table gives some of the values of $f(x)$, an invertible function. What is the value of $f^{-1}(f(2)) ?$

 $\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$ $-1$ $3$ $-1/2$ $2$ $0$ $1$ $1/2$ $1/2$ $1$ $1/4$
1. $-1/2$
2. $1/2$
3. $2$
4. It cannot be determined with the information given.
You need to be a HelpTeaching.com member to access free printables.