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Back to Exercise: Read inverse from graph or table

Exercises: Read Values of an Inverse Function from a Graph or a Table

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Grade 9·20 problems·~30 min·Common Core Math - HS Functions·standard·hsf-bf-b-4c
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A

Recall / Warm-Up

1.

If f(3)=7f(3) = 7, which of the following is true about f−1f^{-1}?

2.

A table shows f(1)=4f(1)=4, f(2)=7f(2)=7, f(3)=10f(3)=10. What is f−1(7)f^{-1}(7)?

3.

A function has these outputs: f(1)=3f(1)=3, f(2)=5f(2)=5, f(3)=3f(3)=3. Does an inverse function exist?

B

Fluency Practice

1.

A function ff has these values: f(2)=5f(2)=5, f(4)=9f(4)=9, f(6)=14f(6)=14, f(8)=19f(8)=19.

Find f−1(14)f^{-1}(14).

2.

A function ff has these values: f(1)=3f(1)=3, f(3)=9f(3)=9, f(5)=15f(5)=15, f(7)=21f(7)=21.

Find f−1(9)f^{-1}(9).

3.

The graph of ff passes through the points (1,2)(1, 2), (3,5)(3, 5), (5,7)(5, 7), and (7,9)(7, 9). What is f−1(5)f^{-1}(5)?

4.

The graph of ff passes through (−2,1)(-2, 1), (0,3)(0, 3), (2,5)(2, 5), (4,7)(4, 7). What is f−1(3)f^{-1}(3)?

5.

A table shows g(1)=4g(1)=4, g(2)=7g(2)=7, g(3)=4g(3)=4, g(4)=10g(4)=10. Does g−1g^{-1} exist as a function?

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