Question

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval −6≤x≤−5

Answer 1

ANSWER

$-4$

EXPLANATION

From Intervals x=-6 to x=-5

From the given graph;

$\begin{gathered} f(-6)=8 \\ f(-5)=4 \end{gathered}$

The average rate of change;

$\begin{gathered} \frac{f(-6)-f(-5)}{-6-(-5)} \\ =\frac{8-4}{-1} \\ =\frac{4}{-1} \\ =-4 \end{gathered}$