Calculate the average rate of change of the given function over the interval $[ 7,13 ]$ . $f ( x ) = 6 x ^ { 2 } - \frac { x } { 2 }$
A)64.90
B) 216.33
C) 717.00
D) 35.85
E) 119.50

Question

Calculate the average rate of change of the given function over the interval $[ 7,13 ]$ .   $f ( x ) = 6 x ^ { 2 } - \frac { x } { 2 }$  
A)64.90
B) 216.33
C) 717.00
D) 35.85
E) 119.50

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 $f(x) = 6x^2 - \frac{x}{2}$, calculate $f(13)$ and $f(7)$, then use the formula: $\frac{f(13) - f(7)}{13 - 7} = \frac{1195.5 - 478.5}{6} = 119.50$.

Calculate the Average Rate of Change of the Given Function [7,13][ 7,13 ][7,13]

Calculate the Average Rate of Change of the Given Function $[ 7,13 ]$