Answer
(a) $3$
(b) $20.2$
(c) $x=0$ , $x=3$
(d) $-0.8$
(e) $[-2,4]$ , $[-1,3]$
(f) $[-2,1]$
Work Step by Step
(a) looking at the graph, when $x=1$, $y=f(x) = \bf 3$
(b) looking at the graph, at $x=-1$ the y value is approximately $\bf -0.3$
(c) since $y=f(x)$, when $y=1$, we see that we have two $x$ values $\bf x=0$ , and $\bf x=3$
(d) when $y=0$, $x\approx\bf-0.8$
(e) the domain of $f$ is all valid inputs of $f$ which is $\bf[-2,4]$
the range of $f$ is all outputs of $f$ which is $\bf[-1,3]$
(f) $f$ is increasing when the slope of the function is positive. This happens between $x=-2$ and $x=1$ inclusive. We can say that the interval on which $f$ is increasing is $\bf[-2,1]$.
