Question

Which graph shows a function whose inverse is also a function?

Answer 1

$\huge\boxed{\text{The first graph}}$

A good way to determine if a line represents a valid function is to use the vertical line test.

To do this, you imagine a vertical (up and down) line moving across your graph from left to right. It should only be touching the line at one point at a time.

If it is touching more than one point on the line at a time, the line is not a valid function.

The first line and its inverse both pass the test.

The second line passes the test, but its inverse does not.

The third line also passes the test, but again, its inverse does not.

The same applies to the fourth line and its inverse.

Answer 2

Answer:

The first graph

Step-by-step explanation:

The first graph is the only graph in which both a function and its inverse pass the vertical line test.

The vertical line test determine whether something is a function or not.