Question

Find the local maxima, the local minima, the absolute maximum, and the absolute minimum of the function f(x)=x^3+x^2-2x on the interval [-2,2]. Use this inforation to sketch the graph of f.

Answer 1

differentiate
set f'(x)=0 *dont forget to factor
solve for x
Those will be your critical points

Then plug in your end points [-2,2] and your critical points

Answer 2

do i have to plug into f(x)?

Answer 3

yes I forgot plug it in to the original

Answer 4

ok. and then?

Answer 5

and then your lowest and highest y values will be your maximum and minmum

Answer 6

what is the dfference between local maximum and absolute maximum?

Answer 7

absolute is over the entire domain

Answer 8

so how should i differentiate absolute maximum and local maxima?

Answer 9

okay your local is in your closed interval your absolute can be the highest value as long as you used
[-2,2] or your critical points