First, we can rewrite the vector-valued function as:
$$
\vec{r}(t) = \left\langle x(t), y(t) \right\rangle = \left\langle \frac{1}{t}, \frac{1}{t^2} \right\rangle
$$
Now, let's find the values of x(t) and y(t) at the endpoints of the interval:
At t = -2:
$$
x(-2)
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