Question

home > fall 2025 math195 tuesday/thursday > assessment
assignment 3.3: rates of change and behavior of graphs
score: 10.5/13 answered: 11/13
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question 12
0/1 pt 5 19 details
find the average rate of change of the function on the interval specified.
g(x) = 2x^3 - 1 on -3,3
your answer:

Explanation:

Step1: Recall rate - of - change formula

$\text{Average rate}=\frac{g(b)-g(a)}{b - a}$, where $a=-3$, $b = 3$.

Step2: Calculate $g(3)$ and $g(-3)$

$g(3)=2\times3^{3}-1=53$, $g(-3)=2\times(-3)^{3}-1=-55$.

Step3: Substitute values

$\frac{g(3)-g(-3)}{3-(-3)}=\frac{53-(-55)}{6}=\frac{108}{6}=18$.

Answer:

18