Chapter 5.1, Problem 1P

In each of Problems $1$ through $4$, sketch the graph of the given function. In each case, determine whether $f$ is continuous, piecewise continuous, or neither on the interval $0\le t\le 3$.

$f(t)=\{\begin{array}{l}{t}^2,0\le t\le 1\\ 2+t,1<t\le 2\\ 6-t,2<t\le 3\end{array}$