Question

Help please!
y=x^3-3x^2+3x-2
----Find the extreme values of the function and where they occur.

Answer 1

By "extreme values," do you want to include relative extrema?

Answer 2

We could!(: but the question only asks for the extreme values? @directrix

Answer 3

Math way.com

Answer 4

it doesn't show me how to do it @Brianawhodat

Answer 5

Sorry

Answer 6

y=x^3-3x^2+3x-2

This cubic polynomial enters Quadrant 3.
We know that because as x gets smaller and smaller, the dominant term x^3 [think of it as (-x)^3 = -x^3] gets smaller and smaller. The (-, -) quadrant is quad III.


This cubic polynomial exits Quadrant I.
We know that because as x gets larger and larger, the dominant term x^3 [think of it as (+x)^3 = +x^3] gets larger and larger. The (+,+) quadrant is quad I,

If "extreme values" encompasses only end term behavior of the polynomial, then what do you think are the "extreme values?"

Answer 7

So how do I find the extrema? and where they occur. @Directrix

Answer 8

I must give points and/or intervals.

Answer 9

I need to ask @pdd21 a question to answer your question.
For the graph shown below, what would you say are the extreme values?