Question

the graph of a function g is shown below. use the graph of the function to find its average rate of change from x = 7 to x = 8. simplify your answer as much as possible.

Explanation:

Step1: Identify g(7) and g(8)

From the graph, $g(7)=-5$, $g(8)=-2$

Step2: Apply average rate formula

Average rate = $\frac{g(8)-g(7)}{8-7}$

Step3: Substitute values and calculate

$\frac{-2 - (-5)}{8-7} = \frac{3}{1} = 3$

Answer:

3