Question

Which of the following statements is true?

All the answers are correct.


If a function has an inverse function, then the original function will pass the horizontal line test.


A function will always pass the vertical line test.


If the function has an inverse function, then the inverse function will pass the vertical line test.

Answer 1

All the answers are correct

Explanation:

Any relation that is a function will pass the vertical line test, regardless of any other characteristic it may have (such as being the inverse of some other function).

The inverse of a function is that function reflected across the line y=x. If the inverse passes the vertical line test (is a function), then the original must pass the horizontal line test. The reflection of a vertical line is a horizontal line and vice versa.