the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on the…
the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on the interval -9 ≤ x ≤ -8?
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ on the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a=-9$ and $b = - 8$.
Step2: Read function values from graph
From the graph, when $x=-9$, $f(-9)=-40$; when $x=-8$, $f(-8)=40$.
Step3: Calculate average rate of change
Substitute into the formula: $\frac{f(-8)-f(-9)}{-8-(-9)}=\frac{40-(-40)}{-8 + 9}=\frac{40 + 40}{1}=80$.
Answer:
80