Question

Find the average rate of change for f(x) = x^3 -6x^2 -5
from -2 to 8
and the equation of the secant line containing (-2, f(-2)) and (8, f(8)). Please show all of your work.

Answer 1

the average rate of change is the slope of a straight line through those points, and we know how to find that from the formula for a slope of a line. from algebra.\[m=\frac{f(x_2)-f(x_1)}{x_2-x_1}\]in your particular problem we have\[m=\frac{f(8)-f(-2)}{8-(-2)}\]

Answer 2

so the info above is the equation