question the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on…
question the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on the interval -5 ≤ x ≤ 5? answer attempt 1 out of 2 submit answer
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, $a=-5$ and $b = 5$.
Step2: Find $f(-5)$ and $f(5)$ from the graph
From the graph, when $x=-5$, $f(-5)=0$; when $x = 5$, $f(5)=20$.
Step3: Calculate the average rate of change
Substitute $a=-5$, $b = 5$, $f(-5)=0$ and $f(5)=20$ into the formula: $\frac{f(5)-f(-5)}{5-(-5)}=\frac{20 - 0}{5+5}=\frac{20}{10}=2$.
Answer:
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