average rate of change quick check. use the image to answer the question. calculate the average rate of…
average rate of change quick check. use the image to answer the question. calculate the average rate of change over the interval 3,4 of the given graph of the function. (1 point)
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 3$, $b = 4$, $f(3)=4$ and $f(4)=20$.
Step2: Substitute values into formula
Substitute $a = 3$, $b = 4$, $f(3)=4$ and $f(4)=20$ into $\frac{f(b)-f(a)}{b - a}$, we get $\frac{20 - 4}{4 - 3}$.
Step3: Calculate the result
$\frac{20 - 4}{4 - 3}=\frac{16}{1}=16$.
Answer:
16