Differentiability at a point: algebraic

Created by Tomer Gal.

Problem

Is the function given below continuous/differentiable at x, equals, minus, 1?
g(x)={2x1,x<1x2+3,x1g(x)=\begin{cases} -2x-1&,&x<-1 \\\\ x^2+3&,&x\geq-1 \end{cases}
Please choose from one of the following options.