Find the average rate of change for the function over the given interval.
-$$y = x ^ { 2 } \text { between } x = - 5 \text { and } x = 10$$
A) 15
B) $- 5$
C) 1
D) 5

Question

Quizplus · Accepted Answer

The average rate of change of a function $y = f(x)$ over an interval $[a, b]$ is given by $\frac{f(b) - f(a)}{b - a}$. For $y = x^2$, $f(10) = 10^2 = 100$ and $f(-5) = (-5)^2 = 25$. Thus, the average rate of change is $\frac{100 - 25}{10 - (-5)} = \frac{75}{15} = 5$.

Find the Average Rate of Change for the Function Over y=x2 between x=−5 and x=10y = x ^ { 2 } \text { between } x = - 5 \text { and } x = 10y=x2 between x=−5 and x=10

Find the Average Rate of Change for the Function Over $y = x ^ { 2 } \text { between } x = - 5 \text { and } x = 10$