Calculate the average rate of change of the given function over the interval $[ - 3,5 ]$ . $f ( x ) = 2 x ^ { 2 } + 8$
A)-42
B) 42
C) 4
D) 10.5
E) 16

Question

Calculate the average rate of change of the given function over the interval $[ - 3,5 ]$ .   $f ( x ) = 2 x ^ { 2 } + 8$  
A)-42
B) 42
C) 4
D) 10.5
E) 16

Quizplus · Accepted Answer

The average rate of change of a function $f(x)$ over an interval $[a, b]$ is given by $\frac{f(b) - f(a)}{b - a}$. For $f(x) = 2x^2 + 8$, calculate $f(5) = 2(5)^2 + 8 = 58$ and $f(-3) = 2(-3)^2 + 8 = 26$. The average rate of change is $\frac{58 - 26}{5 - (-3)} = \frac{32}{8} = 4$.

Calculate the Average Rate of Change of the Given Function [−3,5][ - 3,5 ][−3,5]

Calculate the Average Rate of Change of the Given Function $[ - 3,5 ]$