Find the average rate of change of the function $f$ between the points given. $f ( x ) = \frac { 1 } { x - 3 } ; x = 2 , x = 7$
A) $1 / 4$
B) $1 / 5$
C) $- 1 / 5$
D) $- 4$
E) $- 1$

Question

Quizplus · Accepted Answer

The average rate of change of a function between two points is the slope of the line connecting those two points. The slope of the line connecting the points (2, f(2)) and (7, f(7)) is:$$m = \frac{f(7) - f(2)}{7 - 2} = \frac{\frac{1}{7-3} - \frac{1}{2-3}}{5} = \frac{\frac{1}{4} - \frac{1}{5}}{5} = \frac{\frac{1}{20}}{5} = \frac{1}{100}$$Therefore, the average rate of change of the function between the points (2, f(2)) and (7, f(7)) is 1/100.

Find the Average Rate of Change of the Function fff Between the Points Given

Find the Average Rate of Change of the Function $f$ Between the Points Given