Question

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)

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