We have to calculate the average rate of change foro this quadratic function in the interval x =-5 to x = -3.
The average rate of change for a function f(x) in the interval [a,b] can be calculated as:
[tex]r=\frac{f(b)-f(a)}{b-a}[/tex]
We then need to now f(-5) and f(-3).
We can identify this values in the graph as:
We can then calculate the average rate of change as:
[tex]\begin{gathered} r=\frac{f(-5)-f(-3)}{-5-(-3)} \\ r=\frac{-15-1}{-5+3} \\ r=\frac{-16}{-2} \\ r=8 \end{gathered}[/tex]
Answer: the average rate of change in this interval is 8 [Option A]
