Answer
(a) Refer to the image below for the graph.
(b)
Domain: $[-3, 3]$
Range: $[-6, 3]$
Work Step by Step
(a)
Sketch the graph of the function by creating a table of values.
Plot each point of the table of values then connect them using a smooth curve to complete the graph.
Note that the domain is restricted to $-3 \le x \le 3$.
(refer to the attached image in the answer part above)
(b)
Use the graph to find the domain and range.
The domain is the set that contains all the x-values covered by the graph/function.
The range is the set that contains all the y-values covered by the graph/function.
Note that:
The domain is restricted to $-3 \le x \le 3$
Thus, the domain is $[-3, 3]$.
The graph covers the y-values from $-6$ to $3$.
Thus, the range is $[-6, 3]$.
