question given the graph of the function f(x) shown below, find the average rate of change of the function…
question given the graph of the function f(x) shown below, find the average rate of change of the function f(x) on the interval 5,15.
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, $a = 5$ and $b=15$.
Step2: Estimate function values from graph
From the graph, assume $f(5)\approx10$ and $f(15)\approx20$.
Step3: Calculate average rate of change
Substitute into the formula: $\frac{f(15)-f(5)}{15 - 5}=\frac{20 - 10}{10}=1$.
Answer:
$1$