the graph of a function g is shown below. use the graph of the function to find its average rate of change…

Answer:

Let's assume from the graph that (g(0)= - 2) and (g(2)=6). The average - rate of change of a function (y = g(x)) from (x=a) to (x = b) is given by the formula (\frac{g(b)-g(a)}{b - a}). Here, (a = 0), (b = 2), (g(0)=-2) and (g(2)=6). The average rate of change is (\frac{g(2)-g(0)}{2 - 0}=\frac{6-(-2)}{2}=\frac{6 + 2}{2}=\frac{8}{2}=4)

Explanation:

Step1: Recall the formula

The formula for average rate of change is (\frac{g(b)-g(a)}{b - a})

Step2: Identify values

(a = 0), (b = 2), (g(0)=-2), (g(2)=6)

Step3: Substitute values

(\frac{6-(-2)}{2-0}=\frac{6 + 2}{2})

Step4: Simplify

(\frac{8}{2}=4)