average rate of change practice\ncomplete this assessment to review what youve learned. it will not count…
average rate of change practice\ncomplete this assessment to review what youve learned. it will not count toward your grade.\nuse the image to answer the question.\ncalculate the average rate of change over the interval -1,1 using the given graph of the function.\n(1 point)\nthe average rate of change is \ncheck answer remaining attempts 3
Answer
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