2.7.57 Function properties

Condition: The function \( y=f(x) \) is given. Find the discontinuity points of the function, if they exist. Make a schematic drawing. \[ f(x)=\left\{\begin{array}{rc} x+4, & x<-1 \\ x^{2}+2, & -1 \leq x<1 \\ 2 x, & x>1 \end{array}\right. \]