Question

Find the average rate of change for the function over the given interval.

2) y = 6x3 - 6x2 - 8 between x = 2 and x = 4

Answer 1

132

Explanation:

The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.

y = 6x^3-6x^2-8

____

x = 2

6(2)^3-6(2)^2-8

6(8)-6(4)-8

48-24-8

24-8

16

____

x = 4

6(4)^3-6(4)^2-8

384-96-8

288-8

280

_____

280-16/4-2 = 264/2 = 132