Question

Select the correct answer.

The graph of function f is shown.
Which statement about function f is true?

answers:

The function f has an inverse because it passes the vertical line test.

The function f does not have an inverse because it is not one-to-one.

The function f has an inverse because it is one-to-one.

The function f does not have an inverse because its domain is not .

Answer 1

The function f has an inverse because it is one-to-one.

Explanation:

The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.