Does the graph represent a function that has a inverse Choos

Does the graph represent a function that has a inverse? Choose the correct answer below. Yes No

Solution

A function, f(x), has an inverse function
if f(x) is one-to-one.

We use the horizontal line test to determine if a function has an inverse function.
If ANY horizontal line intersects your original function in ONLY ONE location, your function has an inverse which is also a function.

Here in the graph horizontal line intersects original function one more time so the function has inverse.

The correct answer is yes.