Question

Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. Include the average rate of change in your answer.

Answer 1

Answer:

147

Step-by-step explanation:

Average rate of change is given by the total rise over total run.

$f(x) = 3x^3+2\\f(3)=3*3^3+2=83\\f(5)=3*5^3+2 = 377$

So,

total rise = 377 - 83 = 294

total run = 2

average rate of change = $\dfrac{294}{2} = 147$