which graph shows a function whose inverse is also a function?

Explanation:

Step1: Recall function - inverse function concept

A function (y = f(x)) has an inverse that is also a function if and only if the original function (f(x)) is one - to - one. A one - to - one function passes both the vertical line test (to be a function) and the horizontal line test (to have an inverse that is a function).

Step2: Analyze the given graph

The vertical line test checks if for every (x) value there is at most one (y) value. The horizontal line test checks if for every (y) value there is at most one (x) value. If a function is increasing or decreasing over its entire domain, it is one - to - one.

Answer:

A function whose inverse is also a function must be one - to - one. Without seeing all the options, we know that a graph of a strictly increasing or strictly decreasing function will have an inverse that is a function. If the given graph is either strictly increasing or strictly decreasing over its domain, then it is the correct answer. Since no other graphs are provided, we assume that if the graph shown is either always rising or always falling as (x) increases, it is the graph of a function whose inverse is also a function.