which statement could be used to explain why the function $h(x)=x^{3}$ has an inverse relation that is also…

which statement could be used to explain why the function $h(x)=x^{3}$ has an inverse relation that is also a function?\nthe graph of $h(x)$ passes the vertical line test.\nthe graph of the inverse of $h(x)$ is a vertical line.\nthe graph of the inverse of $h(x)$ passes the horizontal line test.\nthe graph of $h(x)$ passes the horizontal line test.

which statement could be used to explain why the function $h(x)=x^{3}$ has an inverse relation that is also a function?\nthe graph of $h(x)$ passes the vertical line test.\nthe graph of the inverse of $h(x)$ is a vertical line.\nthe graph of the inverse of $h(x)$ passes the horizontal line test.\nthe graph of $h(x)$ passes the horizontal line test.

Answer

Brief Explanations:

A function has an inverse that is also a function if and only if the original function is one - to - one. A one - to - one function's graph passes the horizontal line test. If the graph of a function (y = h(x)) passes the horizontal line test, then its inverse relation is a function. The vertical line test is used to determine if a relation is a function in the first place. A vertical line for the inverse would mean it's not a function.

Answer:

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