Question

Which statement could be used to explain why the function h(x)=x^3 has an inverse relation that is also a function

Answer 1

ANSWER

C) the graph of the inverse of h(x) passes the HLT

EXPLANATION

The given equation is

$h(x) = {x}^{3}$

This function has an inverse relation which is also a function because the inverse of h(x) is a one-to-one function.

As a result, a horizontal line drawn across the graph of the inverse of

$h(x) = {x}^{3}$

will the intersect the graph at one and only one point.

We say, the graph passes the Horizontal Line Test (HLT).

C) the graph of the inverse of h(x) passes the HLT