Answer:
[tex]-\frac{2}{5}[/tex]
Step-by-step explanation:
The average rate of change is defined as [tex]\frac{f(b)-f(a)}{b-a}[/tex]
In this case, b=2 and a =-3
Knowing this, we can input in our known values
[tex]\frac{f(2)-f(-3)}{2+3}\\\\\frac{f(2)-f(-3)}{5}[/tex]
Now we can find the values of [tex]f(2)[/tex] and [tex]f(-3)[/tex] using the table
This gives us, which can be simplified to
[tex]\frac{0-2}{5}\\\\\\-\frac{2}{5}[/tex]
