Answer
$-8 \leq x \leq 10$ and $-3 \leq y \leq 20$.
Work Step by Step
Using a graphing calculator, plot the parametric equations $x = t^{4}-2t^{3}-2t^{2}$ and $y = t^{3} - t$.
The region that contains the important aspects of the graph are $-8 \leq x \leq 10$ and $-3 \leq y \leq 20$.