Question

Find the average rate of change of each function on the interval specified. Your answers will be expressions.
j(x) = 3x^3 on [1, 1+h]

Answer 1

compute
\[\frac{j(1+h)-j(1)}{h}\]

Answer 2

average rate of change is defined as y2-y1/x2-x1 right?

Answer 3

would it be j(1) = 3(1)^3 and j(1+h) = 3(1+h)^3

Answer 4

so what I got was j(1) = 3(1)^3 = 3
j(1+h)^3 = 3h^3+3h^2+3h+1=3(h^3+3h^2+3h+1)=3h^3+9h^2+9h+3