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

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# Finding Inverse Function Values from Graphs (Grade 10)

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## Finding Inverse Function Values from Graphs

1.
Let $f(x)$ be the function in the graph below. Assume that the horizontal axis represents $x$ values and the vertical axis $y$ values. What is the value of $f^{-1}(1) ?$
1. $-1$
2. $1/2$
3. $1$
4. $2$
2.
Let $f(x)$ be the function in the graph below. Assume that the horizontal axis represents $x$ values and the vertical axis $y$ values. What is the value of $f^{-1}(2) ?$
1. $-2$
2. $1$
3. $2$
4. $4$
3.
If $f(x)$ is the function in the graph below, what is $f^{-1}(-2) ?$ Assume that the horizontal axis represents $x$ values and the vertical axis $y$ values.
1. $2$
2. $1$
3. $-1$
4. $4$
4.
If $f(x)$ is the function in the following graph, what is the value of $f^{-1}(0) ?$ Assume that the horizontal axis represents $x$ values and the vertical axis $y$ values.
1. -1
2. 0
3. 1
4. This value does not exist.
5.
Let $f(x)$ be the function pictured in the graph below. What is the value of $f^{-1}(2) ?$ Assume that the horizontal axis represents $x$ values and the vertical axis represents $y$ values.
1. $2$
2. $-2$
3. $1/2$
4. $-1/2$
6.
Let $f(x)$ be the function in the graph below. What is the approximate value of $f^{-1}(1) ?$ Assume that the scale on the x- and y-axes is one unit.
1. -1
2. -0.75
3. 0
4. 2
7.
Given the function $f(x)$ in the following graph, what is the approximate value of $f^{-1}(4) ?$ Assume that the scale on the x- and y-axes is one unit.
1. 2
2. 1.5
3. -0.1
4. Not enough information given in the graph to determine this.
8.
If $f(x)$ is the exponential function in the graph below, what is the approximate value of $f^{-1}(-1) ?$ Assume that the scale on the x- and y-axes is one unit.
1. 0.25
2. 0
3. 5.25
4. This value does not exist.
9.
Let $f(x)$ be the logarithmic function in the graph below. Using the information in the graph, what is the approximate value of $f^{-1}(3) ?$ Assume that the scale on the x- and y-axes is one unit.
1. Not enough information given in the graph to determine this value.
2. This value does not exist.
3. 0.5
4. 0.01
10.
Given the graph below of the logarithmic function $f(x)$, what is the approximate value of $f^{-1}(0.5) ?$ Assume that the scale on the x- and y-axes is one unit.
1. 3
2. 0
3. 0.5
4. This value does not exist.
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