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]

- [math]-1[/math]
- [math]1/2[/math]
- [math]1[/math]
- [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]

- [math]-2[/math]
- [math]1[/math]
- [math]2[/math]
- [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.

- [math]2[/math]
- [math]1[/math]
- [math]-1[/math]
- [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.

- -1
- 0
- 1
- 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.

- [math]2[/math]
- [math]-2[/math]
- [math]1/2[/math]
- [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.

- -1
- -0.75
- 0
- 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.

- 2
- 1.5
- -0.1
- 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.

- 0.25
- 0
- 5.25
- 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.

- Not enough information given in the graph to determine this value.
- This value does not exist.
- 0.5
- 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.

- 3
- 0
- 0.5
- This value does not exist.
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