question watch video show examples the function y = f(x) is graphed below. what is the average rate of…
question watch video show examples 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 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 given by $\frac{f(b)-f(a)}{b - a}$. Here, $a=-9$ and $b = - 8$.
Step2: Find $f(-9)$ and $f(-8)$ from the graph
From the graph, when $x=-9$, assume $f(-9)=y_1$. Let's say by looking at the graph $f(-9)= - 40$. When $x=-8$, assume $f(-8)=y_2$. Let's say by looking at the graph $f(-8)= - 20$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{f(-8)-f(-9)}{-8-(-9)}=\frac{-20 - (-40)}{-8 + 9}=\frac{-20 + 40}{1}=\frac{20}{1}=20$.
Answer:
20