Answer
$a.\quad\mathbb{R}$
$ b.\quad [4,\infty)$
$c.\quad 4$
$d.\quad 2$ and $6$
$e.\quad(1,0)$ and $(7,0)$
$f.\quad(0,4)$
$g.\quad(1,7)$
$ h.\quad$positive
Work Step by Step
$ a.\quad$
Arrows indicate that the graph extend to both far sides , so the domain is $\mathbb{R}$
$ b.\quad$
The smallest function value is $-4$, there is no greatest value.
Range = $[4,\infty)$
$ c.\quad$
The point $(-3,4)$ is on the graph, so $f(-3)=4$
$ d.\quad$
Points $(2, -2)$ and $(6,-2)$ are on the graph.
Answer: $x=2, x=6$
$ e.\quad$
The intersections with the x-axis are
$(1,0)$ and $(7,0)$
$ f.\quad$The point on tha graph that is on the y-axis is $(0,4)$
$ g.\quad$
The graph is below the x-axis for x having values between $1$ and $7$.
Since the inequality is strict, endpoints are excluded.
$x\in(1,7)$
$ h.\quad$
The point $(-8,4)$ is on the graph, so $f(-8)=4$,
which is positive.
