For the function, find the average rate of change of f from 1 to x: $$\frac { f ( x ) - f ( 1 ) } { x - 1 } , x \neq 1$$
-$$f ( x ) = \sqrt { x + 35 }$$
A) $\frac { \sqrt { x + 35 } + 6 } { x - 1 }$
B) $\frac { \sqrt { x + 35 } + 6 } { x + 1 }$
C) $\frac { \sqrt { x + 35 } - 6 } { x + 1 }$
D) $\frac { \sqrt { x + 35 } - 6 } { x - 1 }$

Question

Quizplus · Accepted Answer

To find the average rate of change of $f(x) = \sqrt{x + 35}$ from 1 to $x$, we substitute $f(x)$ and $f(1)$ into the given formula. $f(1) = \sqrt{1 + 35} = \sqrt{36} = 6$. Thus, the formula becomes $\frac{\sqrt{x + 35} - 6}{x - 1}$, which matches choice D.

For the Function, Find the Average Rate of Change of F