The graph in Figure 55 is that of a one-to-one function $y = f(x)$. Draw the graph of its inverse function.

Figure 55

Solution Since the points $(-2,-1)$, $(-1,0)$, and $( 2,1)$ are on the graph of $f$, the points $(-1,-2)$, $( 0,-1)$, and $( 1,2)$ are on the graph of $f^{\,-1}$. Using the points and the fact that the graph of $f^{-1}$ is the reflection about the line $y = x$ of the graph of $f$, draw the graph of $f^{-1}$, as shown in Figure 56.

Figure 56