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 $-2leq xleq -1$?
Answer
Answer:
30
Explanation:
Step1: Recall the formula
The average - rate - of - change formula is $\frac{f(b)-f(a)}{b - a}$, where $a=-2$, $b = - 1$.
Step2: Find $f(-2)$ and $f(-1)$ from the graph
From the graph, when $x=-2$, $y = f(-2)=-20$; when $x=-1$, $y = f(-1)=10$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{f(-1)-f(-2)}{-1-(-2)}=\frac{10-(-20)}{-1 + 2}=\frac{10 + 20}{1}=30$.