Inverse Functions of Graphs and Tables

Is the inverse of the graph a function?

• Yes

• No

are these inverse functions

• no

• yes

• no way to tell

The table below contains values of the function \( f(x) \). Which of the following tables represents the inverse of \( f(x) \)?

• Table A

• Table B

• Table C

• Table D

Which of the following sets of tables indicates that the function f(x) and the function g(x) are inverses?

• A

• B

• C

• D

Are these graphs inverses?

• yes

• no

• There is no way to tell.

Look at the graph below. Which of the graphs below represents the graph of the inverse of the function?

• Graph with points (6, 3), (-3, 0), and (-9, -2)

• Graph with points (3, -6), (0, 3), and (-2, 9)

• Graph with points (-6, 3), (3, 0), and (9, -2)

• Graph with points (6, -3), (3, 0), and (9, 2)

Which of the following represents f⁻¹(x), the inverse of the function f(x) = (1/2)x + 8?

• f⁻¹(x) = (x - 8) / 2

• f⁻¹(x) = (x + 8) / 2

• f⁻¹(x) = 2(x - 8)

• f⁻¹(x) = 2(x + 8)

Which of the following represents f⁻¹(x), the inverse of the function f(x) = -3(4x - 1)² + 3?

• B

• A

• C

• D

The graph of f(x) is shown below. Which of the following is a graph of the inverse of f(x)?

• Option A

  wrong

• Option B

  Correct

• Option C

  wrong

• Option D

  Wrong

The graph of f(x) is shown below. Which of the following points would be contained in the inverse of f(x)?

• (6, 3)

• (-6, -3)

• (-3, 6)

• (-3, -6)