Answer:
Step-by-step explanation:
Average rate of change for a given function is given by
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
For our question a is -1 and b is 2.
Now since points (-1,-1) and (2,5) are on the graph given it means
f(-1)=-1 and f(2)= 5
So using the formula and given values we get
Average rate of change = [tex]\frac{f(2)-f(-1)}{2-(-1)}[/tex]
= [tex]\frac{5-(-1)}{2-(-1)}[/tex]
= [tex]\frac{6}{3}[/tex]
Average rate of change = 2
