what is the average rate of change for this function for the interval from x = 1 to x = 3?\na. 2\nb. 3\nc…

Explanation:

Step1: Identify the formula

The formula for the average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$.

Step2: Determine the values of $a$, $b$, $f(a)$ and $f(b)$

Here, $a = 1$, $b=3$, $f(1)=7$ and $f(3)=13$.

Step3: Substitute values into formula

$\frac{f(3)-f(1)}{3 - 1}=\frac{13 - 7}{2}$.

Step4: Calculate the result

$\frac{13 - 7}{2}=\frac{6}{2}=3$.

Answer:

B. 3