2.7.57 Function Properties

Condition: the function \ (y = f (x) \). Find the points of rupture 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. \]