Find the average rate of change for the function between the given values.
-$f ( x ) = \sqrt { 2 x } ; \text { from } 2 \text { to } 8$
A) 2
B) $\frac { 1 } { 3 }$
C) $- \frac { 3 } { 10 }$
D) 7

Question

Find the average rate of change for the function between the given values.
-$f ( x ) = \sqrt { 2 x } ; \text { from } 2 \text { to } 8$
A) 2 
B) $\frac { 1 } { 3 }$
C) $- \frac { 3 } { 10 }$
D) 7

Quizplus · Accepted Answer

The average rate of change of a function $f(x)$ between two points $x = a$ and $x = b$ is given by $\frac{f(b) - f(a)}{b - a}$. For $f(x) = \sqrt{2x}$, from $x = 2$ to $x = 8$, we calculate $\frac{\sqrt{2(8)} - \sqrt{2(2)}}{8 - 2} = \frac{\sqrt{16} - \sqrt{4}}{6} = \frac{4 - 2}{6} = \frac{2}{6} = \frac{1}{3}$.

Find the Average Rate of Change for the Function Between f(x)=2x; from 2 to 8f ( x ) = \sqrt { 2 x } ; \text { from } 2 \text { to } 8f(x)=2x​; from 2 to 8

Find the Average Rate of Change for the Function Between $f ( x ) = \sqrt { 2 x } ; \text { from } 2 \text { to } 8$