Appendix C - Functions - Page 436: 60

(a) $f(-2)=3$ (b) $f(0)=3$ (c) $f(1)=3$ (d) $f(4)=3$

(a) To evaluate $f(-2)$ using the graph, we first find $-2$ on the x-axis. From $-2$ 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 $3$. Therefore, $f(-2)=3$. (b) To evaluate f(0) using the graph, we find $0$ on the x-axis. From $0$ on the x-axis, we move up vertically until the graph of $f$ is reached. The y-component at this point is $3$. Therefore, $f(0)=3$. (c) 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 $3$. Therefore, $f(1)=3$. (d) To evaluate $f(4)$ using the graph, we find $4$ on the x-axis. From $4$ 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 $3$. Therefore, $f(4)=3$.