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

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