Question

Use symmetry to graph the inverse of the function.

Answer 1

Answer:

a. is the correct option

Step-by-step explanation:

The graph of a function $f$ and its inverse function $f^{-1}$ are related to each other. The relationship between these two graphs can be explained by taking a point $(a,b)$ that is on the graph of $f$, then point $(b,a)$ must lie on the graph $f^{-1}$ and vice versa meaning that the graph of $f^{-1}$ is a reflection of $f$ in the line $y=x$. The only graph that meet this requirement is the option a. For instance, the point $(0,5)$ is on the graph of $f$ while the point $(5,0)$ is on the graph of $f^{-1}$ as indicated below.