STEP - BY - STEP EXPLANATION
What to find?
The average rate of change in the given interval −3≤x≤−2
Given:
Step 1
State the formula needed to solve the problem given.
[tex]Average\text{ rate of change}=\frac{f(b)-f(a)}{b-a}[/tex]
Step 2
Identify the points.
a=-3 f(a) = -10
b=-2 f(b)=-25
Step 3
Substitute the values into the formula.
[tex]Average\text{ rate of change=}\frac{-25-(-10)}{-2-(-3)}[/tex]
Step 4
Simplify the above.
[tex]\begin{gathered} =\frac{-15}{1} \\ \\ =-15 \end{gathered}[/tex]
ANSWER
Average rate of change = -15
