Which statement could be used to explain why the function h(x) = xº 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.

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

Explanation:

In order for a graph to be a function, it must pass the vertical line test. This is because the definition of a function is a relation in which every element of the domain, x, is mapped to one point of the range, the y. There cannot be more than one y for any given x; this means we cannot have a vertical line through any x coordinate hit more than one point on the graph.

The inverse of a function will have a graph that is "rotated" on the coordinate plane. The inverse will then be a function if this "rotated" graph passes the vertical line test. This means that the original function must pass a horizontal line test in order for the inverse to be a function.by-step explanation:

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step-by-step explanation:

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step-by-step explanation: