The function is defined by h(x)= cases (x-1)^2, & x<1

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−1)2,x<1,x−1,x≥1.h(x)=\begin{cases} (x-1)^2, & x<1,\\ x-1, & x\ge 1. \end{cases} Explain in one sentence why x=1x=1 must be examined when locating relative extrema of hh.

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