Question

Use the graph of the function to find its average rate of change

Answer 1

The average rate of change is given by

$rate=\frac{y2-y1}{x2-x1}$

Then, from x = 5 to x = 7, we have the points (x,y):

(5, -5) and (7, -1)

Therefore, the average rate of change:

$\text{rate}=\frac{-1-(-5)}{7-5}=\frac{-1+5}{2}=\frac{4}{2}=2$

Answer: 2