Answer
Domain:
$[-2.115, 0.254] \cup [1.861, +\infty)$
Range:
$[0, +\infty)$
Work Step by Step
(a)
Use a graphing calculator to graph the given function. (Refer to the attached image below for the graph)
(b)
The domain is the set that contains all the x-values of the given function.
(Refer to the graph below.)
Note that the graph of the given function covers the x-values from approximately $-2.115$ to $0.254$ and from approximately $1.861$ and above.
Thus, the domain of the function is $[-2.115, 0.254] \cup [1.861, +\infty)$.
The range is the set that contains all the y-values of the given function.
Note that the graph of the given function covers the y-values from $0$ and above.
Thus, the range is $[0, +\infty)$.