The function is defined by h(x)= cases (x+2)^2, & x3

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The function hh is defined by h(x)={(x+2)2,x<−1,∣x+1∣,−1≤x≤3,x−3,x>3.h(x)= \begin{cases} (x+2)^2, & x<-1,\\ |x+1|, & -1\le x\le 3,\\ \sqrt{x-3}, & x>3. \end{cases} Determine all xx–values in the domain of hh at which hh is not differentiable.

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