Question

Describe how to determine the average rate of change between x=1 and x=3 for the function f(x)=3x^3+1. Include the average rate of change in your answer.

Answer 1

Answer:

39.

Step-by-step explanation:

We subtract  f(1) which is the value of f(x) when x = 1 from f(3),  then we divide by 3 - 1.

It is [(f3) - f(1]) / (3 - 1), so

Average rate of change = (3(3)^3 + 1) - (3(1)^3 + 1) / (3 - 1)

= (82 - 4) / 2

= 78 / 2

=  39.