Sketch Curve: Parametric Equations x=e^-t+t, y=e^t-t

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Homework Statement


sketch the curve of parametric equations:
x= e^-t + t
y= e^t - t


Homework Equations





The Attempt at a Solution


I don;t know how to eliminate the parameter
Can anyone help me?
 
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It's possible to sketch the curve without trying to eliminate the parameter, which I'm not even sure you can do. Just put in a few values of t and connect them with a curve.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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