Graph help (1 Viewer)

[darkphoenix]

Can anyone show me how to graph y=(2x^3)/(x^2-4) , i got 3 turning points 0, +- root 12, but the answer is +-2.16. Ty

 

[tywebb]

So I think you are right. Where did you get this question from? It seems that "the answer" you have been provided with is incorrect.

 

[darkphoenix]

math in focus , EX 2.8 Q 13 , I thought my answer is right until i used a graphing calculator and had the same answer as the textbook.

 

[tywebb]

Here's what wolframalpha.com did:

 

[tywebb]

i got 3 turning points 0, +- root 12

Note that (0,0) is not actually a turning point. It's a horizontal point of inflection.

Turning points are local extrema, not horizontal inflections.

Stationary points can be local extrema OR horizontal points of inflection.

 

[darkphoenix]

O right, thanks, do you follow any steps when graphing: like limit to the asymptotes, even or odd, dividing regions etc. I get really confused when graphing these stuff?