# Appendix C - Functions - Page 437: 56

(a) $f(2)=-3$ (b) $f(-1)=2$

#### Work Step by Step

(a) To evaluate $f(2)$ using the graph, we find $2$ on the x-axis. From $2$ on the x-axis, we move down vertically until the graph of f is reached. From this point, we then move horizontally towards the y-axis which gives a corresponding value of $-3$. Therefore, $f(2)=-3$. (b) To evaluate $f(-1)$ using the graph, we find $-1$ on the x-axis. From $-1$ on the x-axis, we move up vertically until the graph of f is reached. From this point, we then move horizontally towards the y-axis which gives a corresponding value of $2$. Therefore, $f(-1)=2$.

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