## Algebra and Trigonometry 10th Edition

The given function $f$ passes the Horizontal Test; therefore it has an inverse. Using the graph, determine the values of $f$ for each of the values of $x\in\{1,3,4,6\}$: $f(1)=1$ $f(3)=2$ $f(4)=6$ $f(6)=7$ So we have the points: $(1,1),(3,2),(4,6),(6,7)$ If $(a,b)$ belongs to the graph of $f$, $(b,a)$ belongs to the graph of $f^{-1}$. In order to determine the inverse $f^{-1}(x)$, we consider the ordered pairs: $(1,1),(2,3),(6,4),(7,6)$ Plot the points and join them.