(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 $[-6, 3]$.