Find all critical point(s) of the function f(x)= cases x+2, & x<1 3-x, & x 1 cases

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Find all critical point(s) of the function f(x)={x+2,x<13−x,x≥1f(x)=\begin{cases}x+2, & x<1\\3-x, & x\ge 1\end{cases}

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