based on the graph above, estimate (to one decimal place) the average rate of change from x = 1 to x = 5…
based on the graph above, estimate (to one decimal place) the average rate of change from x = 1 to x = 5. question help: message instructor
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, $a = 1$, $b = 5$.
Step2: Estimate function values from the graph
From the graph, when $x = 1$, $y=f(1)\approx1$. When $x = 5$, $y=f(5)\approx7$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{f(5)-f(1)}{5 - 1}=\frac{7 - 1}{4}=\frac{6}{4}=1.5$.
Answer:
$1.5$