Consider the vector-valued function \(\vec {r}(t) = \vector {\sqrt {t+4}, \frac {2}{t^2-4}}\). Find the domain of \(\vec {r}\).
\[ D = \left [\answer {-4},\answer {-2}\right ) \cup \left (\answer {-2},\answer {2}\right )\cup \left (\answer {2},\answer {\infty }\right ) \]
Find the intervals where \(\vec {r}\) is continuous:
\[ \left (\answer {-4},\answer {-2}\right ), \left (\answer {-2},\answer {2}\right ), \text { and }\left (\answer {2},\answer {\infty }\right ) \]