Exercise 22

For a certain function $g$, $\fe{\fd{g}}{t}=-8$ at all values of $t$ on $\ointerval{-\infty}{-3}$ and $\fe{\fd{g}}{t}=2$ at all values of $t$ on $\ointerval{-3}{\infty}$.

Janice thinks that $g$ must be discontinuous at $-3$ but Lisa disagrees. Who's right?