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

Question

Quizplus · Accepted Answer

The average rate of change of a function $f(x)$ from $x_1$ to $x_2$ is given by $\frac{f(x_2) - f(x_1)}{x_2 - x_1}$. For $f(x) = \sqrt{2x}$, $f(2) = \sqrt{2*2} = 2$, and $f(8) = \sqrt{2*8} = 4$. Thus, the average rate of change from $x_1 = 2$ to $x_2 = 8$ is $\frac{4 - 2}{8 - 2} = \frac{2}{6} = \frac{1}{3}$.

Find the Average Rate of Change of the Function From x