Answer
a) A horizontal line drawn across $f$ will only cross it once. $\therefore f$ is one-to-one.
b) Domain: $-1\leq x\leq4$
Range: $-3\leq y\leq3$
c) $f^{-1}(2)=0$
d)$f^{-1}(0)\approx-1.7$
Work Step by Step
a) $f$ never takes the same y-value twice, so it passes the horizontal line test.
b) For domain and range, refer to graph, keeping in mind that the domain and range of $f^{-1}(x)$ are those of $f(x)$ swapped.
c) At $y=2, x=0\therefore f^{-1}(2)=0$
d) At $y=0, x\approx-1.7\therefore f^{-1}(0)\approx-1.7$
