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

1. ## 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

2. 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?

3. 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.

4. 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.

5. 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.