which graph shows a function and its inverse?

Explanation:

Step1: Recall property of function - inverse graphs

The graph of a function and its inverse are symmetric about the line $y = x$.

Step2: Analyze each option

Check for symmetry about $y = x$ in each graph set. In the correct pair, for every point $(a,b)$ on the function graph, there is a point $(b,a)$ on the inverse - function graph which implies symmetry about $y = x$.

Answer:

The pair of graphs that are symmetric about the line $y = x$ (usually a dotted line with a slope of 1 passing through the origin in such visualizations) is the correct answer. Without seeing the actual symmetry in the provided images, the general way to identify is by looking for this mirror - like property across the line $y = x$. If one of the given options shows two graphs that are mirror images of each other with respect to the line $y=x$, that option is correct.