Functions Involving Parameters, Vectors, and Matrices

How would you describe a vector-valued function that assigns each input exactly one output and has no breaks or jumps in its graph?

Given a vector-valued function $\vec{r}(t) = \langle t^2 - 3t, \frac{5}{t-2} \rangle$, for what value of $t$ is $\vec{r}(t)$ discontinuous?

If $f(x) = x^2$ and $g(x) = x + 5$ are combined into a vector-valued function $h(x)$, what is $h(2)$?

What is the vector-valued function $\mathbf{r}(t) = \langle 3t, -2t \rangle$ equivalent to in terms of a parametric equation?

If the vector-valued function $r(t) = \langle 3t, 2t^2, t^3 \rangle$ is modified to $r(t) = \langle 3t^2, 2t^3, t^4 \rangle$, how does the change affect the curvature of the trajectory at $t = 1$?

Which of these functions is not considered continuous at every point in its domain?

What is an equivalent expression for the sum of vectors $u=\langle a,b \rangle + v=\langle c,d \rangle$?

If $k(t)=\langle 7,-8 \rangle$ for all values of $t$, what kind of graph do you obtain when plotting $k$ versus $t$?

What type of curve is represented by the parametric equations $x(t) = \cos(t)$ and $y(t) = \sin(t)$?

What is the standard notation for the coordinate plane angles that measure between zero to three hundred sixty degrees?