Sketching the Curve Defined by Parametric Equations

[thereddevils]

Homework Statement

Given the parametric equations,

x=t^3-3t , y=t^2/(1+t^2)

i am asked to sketch this curve.

Homework Equations

The Attempt at a Solution

I am unsure how to get the cartesian equation here..

 

[LCKurtz]

You don't necessarily need the Cartesian equation. Just make a table of values:

t | x | y

List a bunch of values for t and plot the corresponding (x,y) values.

[Edit] The interesting part of the curve is from about t = -1.3 to t = 1.3 or a little farther.