# Intercepts, relative ,extrema, points if inflection, and asymptotes

• Oct 19th 2009, 06:28 PM
Nightasylum
Intercepts, relative ,extrema, points if inflection, and asymptotes
Find Intercepts, relative ,extrema, points if inflection, and asymptotes of:

23) y=x^3-3x^2+3
• Oct 19th 2009, 06:59 PM
Prove It
Quote:

Originally Posted by Nightasylum
23) y=x^3-3x^2+3

Show some effort - where is your working? Where in particular are you having trouble?
• Oct 19th 2009, 07:43 PM
mr fantastic
Quote:

Originally Posted by Nightasylum
Find Intercepts, relative ,extrema, points if inflection, and asymptotes of:

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

Solve:

1. $\displaystyle 0 = x^3-3x^2+3$

2. $\displaystyle \frac{dy}{dx} = 0$.

3. $\displaystyle \frac{d^2y}{dx^2} = 0$.

4. Revise the definitions of the various types of asymptotes.
• Oct 19th 2009, 07:43 PM
Nightasylum
Quote:

Originally Posted by Prove It
Show some effort - where is your working? Where in particular are you having trouble?

Well I know Y=3 Im just not sure how to get the X values when y=o.
• Oct 19th 2009, 07:47 PM
mr fantastic
Quote:

Originally Posted by Nightasylum
Well I know Y=3 Im just not sure how to get the X values when y=o.

You will struggle to solve this cubic equation exactly using algebraic methods. You're probably expected to get decimal approximations using technology.