Calculus $1$ Section $2\mathrm{.}6$ Homework to be submitted in Canvas

For problems $5-8,$ determine whether the following functions are continuous at the point $x=a.$ Check all $3$ items on the continuity checklist.

$8.f(x)=\{\begin{array}{cc}2x,& x<mn>3</mn>\\ x^2+3x,& x3\end{array}$ at $x=3$