Consider the function f(x)= cases x+2,&x<0 ^2,&0 x<3 5,&x 3 cases

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider the function

f(x)=\begin{cases}x+2,&x<0\\x^2,&0\le x<3\\5,&x\ge 3\end{cases}.

Identify all points of discontinuity of

f

and state the interval(s) on which

f

is continuous.