the graph of a function f is shown below. use the graph of the function to find its average rate of change…
the graph of a function f is shown below. use the graph of the function to find its average rate of change from x = - 5 to x = - 3. simplify your answer as much as possible.
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ from $x=a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a=-5$ and $b = - 3$.
Step2: Read function values from the graph
From the graph, when $x=-5$, $f(-5)=-8$; when $x=-3$, $f(-3)=0$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{f(-3)-f(-5)}{-3-(-5)}=\frac{0 - (-8)}{-3 + 5}=\frac{8}{2}=4$.
Answer:
4