MATH Advanced Math  - Unit 8: The Inverse of a Function
Determine if Functions are Inverse Functions

For the first three problems, determine if the functions are inverse functions. Select True or False.

1) Inverse Functions?

2) Inverse Functions?

3) Inverse Functions?

Find Inverse Functions

For the next two problems find the inverse function of the given function.

4) Find the inverse function of the given function. State the letter of the correct solution.

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5) Solve. Complete the square, with a suitable restriction if necessary. State the letter of the correct solution.

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Determining “One-to-One” Functions

For the following problems, graph the functions and their inverses on a graphing calculator and then determine the following:

For the next three problems, use the function given below.

6) Solve. State the letter of the correct answer.

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7) “1-1”?

8) If not “1-1”, identify the appropriate domain restriction. State the letter of the correct answer.

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For the next three problems, use the function given below.

9) Solve. State the letter of the correct answer.

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10) “1-1”?

11) Select the Domain. State the letter of the correct answer.

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For the next four problems, use the function given below. (Remember in order for the calculator to graph an entire fraction place ( )’s around the entire quantity in the fraction.)

12) Solve. State the letter of the correct answer.

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13) “1-1”?

14) Solve. State the letter of the correct answer.

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15) Solve. State the letter of the correct answer.

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