Answer
(a) $f(2) \approx 2.7$
(b) $x_1 \approx 2.3, x_2 \approx 5.6$
(c) The domain of $f$ is [-6,6]
(d) The range of $f$ is [-4,4]
(e) $f$ is increasing in the interval [-4,4]
(f) Odd, since the graph of $f$ is symmetric with respect to the origin.
Work Step by Step
(a) The graph shows that at $x=2$, $f(x)$ is approximately 2.7.
(b) The graph shows that when $x\approx2.3$ and $x\approx5.6$ , $f(x)$ is 3.
(c) The x-axis only shows the domain of $-6$ to $6$, thus the domain of $f$ is that interval.
(d) The y-axis only shows the range of $-4$ to $4$, thus the range of $f$ is that interval.
(e) At $x=-4$ and $x=4$, $f$ has its minimum and maximum point respectively. Thus, it is within this interval (ie. minimum to maximum), that $f$ is increasing.
(f) $f$ is odd since it is symmetric with respect to the origin, and this can be identified by observing the graph. One could also consider the similarity of $f$ to a sine graph, and remember that sine is an odd function.
