Question

average rate of change practice
complete this assessment to review what youve learned. it will not count toward your grade.
use the image to answer the question.
calculate the average rate of change over the interval -1,1 using the given graph of the function.
(1 point)
the average rate of change is
check answer remaining attempts 3

Explanation:

Step1: Recall average rate - of - change formula

The formula for the average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a=-1$, $b = 1$, $f(-1)=-9$, and $f(1)=3$.

Step2: Substitute values into formula

Substitute $a=-1$, $b = 1$, $f(-1)=-9$, and $f(1)=3$ into the formula: $\frac{f(1)-f(-1)}{1-(-1)}=\frac{3-(-9)}{1 + 1}$.

Step3: Simplify the expression

First, simplify the numerator: $3-(-9)=3 + 9=12$. Then, simplify the denominator: $1+1 = 2$. So, $\frac{12}{2}=6$.

Answer:

6