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 7 ≤ x ≤ 8? answer attempt 1 out of 3
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, $a = 7$ and $b = 8$.
Step2: Estimate function values from the graph
From the graph, estimate $f(7)$ and $f(8)$. Suppose $f(7)=0$ and $f(8) = 80$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{f(8)-f(7)}{8 - 7}=\frac{80 - 0}{1}=80$.
Answer:
80