Question

Find the average rate of change of f(x)=x^3-3x+1
(a) From -5 to -3
(b) From _2 to 2
(c) From 2 to 3

Answer 1

to find the average rate of change, you just find the average slope

so for (a) for example, it would be

\[\frac{ f(-3)-f(-5) }{ (-3) - (-5) }\]

Answer 2

just plug -3 and -5 into your equation f(x) to find your values for f(-3) and f(-5)