Problema Solution
Find the average rate of change for f (x)= 8/x+7 from 1 to 2
and the equation of the secant line containing (1, f(1)) and (2, f(2)). Please show all of your work.
Answer provided by our tutors
The average rate of change = (f(2)-f(1))/(2-1) = (8/9 -1)/1 = -1/9
The two points are (1,1) and (2, 8/9)
So the slope = -1/9
So the equation of the secant line is
y-1 = -1/9 (x-1)
y = (-1/9)x +10/9
So the equation of the secant line is y = (-1/9)x +10/9