Which of the following graphs is the inverse of the graph shown below?

A.

Incorrect. The graph reflects across the y-axis.
C.

Correct! The graph is a reflection across y = x.
B.

Incorrect. The graph reflects across the x-axis.
D.

Incorrect. The graph is translated down 2 units.

Which of the following shows an exponential function and its inverse?


Correct! The two graphs are reflections across the line y = x.

Incorrect. The two graphs are reflections across the y-axis.

Incorrect. The two graphs are reflections across the x-axis.

Incorrect. The two graphs are reflections across the line x = 1.5.

The graph of y = 4x is shown at right.
Which of the following statements is true about the inverse of the function?

A. The inverse contains the point (0, 1).
Incorrect. This point is contained in the original function.

B. The inverse contains the point (1, 0).
Correct! This point is a reflection of (0, 1).

C. The inverse contains the points (1, 4).
Incorrect. This point is contained in the original function.

D. The inverse contains the point (1, -4).
Incorrect. This point is not contained in either function.


The graph of y = 2x is shown at right.
Which of the following statements is true about the inverse of the function?

A. The inverse contains the point (0, 1).
Incorrect. This point is contained in the original function.

B. The inverse contains the point (1, 0).
Correct! This point is a reflection of (0, 1).

C. The inverse contains the points (1, 2).
Incorrect. This point is contained in the original function.

D. The inverse contains the point (1, -2).
Incorrect. This point is not contained in either function.