Appendix C - Functions - Page 436: 58

(a) $f(-2)=5$ (b) $f(0)=0$ (c) $f(1)=2$ (d) $f(4)=4$

(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 $5$. Therefore, $f(-2)=5$. (b) To evaluate f(0) using the graph, we find $0$ on the x-axis. Since the graph passes through this point, the required y-value is also $0$. Therefore, $f(0)=0$. (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 $2$. Therefore, $f(1)=2$. (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 $4$. Therefore, $f(4)=4$.