find the average rate of change of ( g(x) ) below on the interval ( -3,3 ). average rate of change =

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function (y = g(x)) on the interval ([a,b]) is (\frac{g(b)-g(a)}{b - a}). Here, (a=-3) and (b = 3).

Step2: Find (g(-3)) and (g(3)) from the graph

From the graph, when (x=-3), (g(-3)=0); when (x = 3), (g(3)=0).

Step3: Substitute into the formula

Substitute (a=-3), (b = 3), (g(-3)=0), and (g(3)=0) into (\frac{g(b)-g(a)}{b - a}). We get (\frac{0-0}{3-(-3)}=\frac{0}{6}).

Answer:

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