Question

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

The graph of h(x) passes the vertical line test.
The graph of the inverse of h(x) is a vertical line.
The graph of the inverse of h(x) passes the horizontal line test.
The graph of h(x) passes the horizontal line test.

Answer 1

D

Explanation:

EDGE 2020

Answer 2

The correct option is;

The graph of h(x) passes the horizontal line test

Explanation:

In order to determine if a function has an inverse, and also if the inverse of the function is also a function, the function can be tested by drawing an horizontal line the graph of the function and viewing to find the following conditions;

A graph of a function that is intersected at only one point in all places (vertically) by an horizontal line indicates that the function has an inverse that is also a function, while a graph of a function that is intersected at more than one point in some places (vertically) by an horizontal line indicates that the function does not have an inverse that is also a function.