Answer:
The correct choice is C.
Step-by-step explanation:
The average rate of change of the given function over the interval [-5,-2] is the slope of the secant line connecting;
[tex](-5,f(-5))[/tex]
and
[tex](-2,f(-2))[/tex]
This implies that the average rate of change over [-5,-2]
[tex]=\frac{f(-2)-f(-5)}{-2--5}[/tex]
From the table; f(-2)=10 and f(-5)=19
We substitute and simplify to obtain;
Average rate of change
[tex]=\frac{10-19}{-2+5}[/tex]
[tex]=\frac{-9}{3}[/tex]
[tex]=-3[/tex]
