Let be defined by h'(x)= cases 3-x, & -2 x 0

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let h′(x)h'(x) be defined by h′(x)={3−x,−2≤x≤0,x−1,0<x≤3.h'(x)=\begin{cases} 3-x, & -2\le x\le 0,\\ x-1, & 0<x\le 3. \end{cases} On which interval is the graph of hh concave down? (a) (0,3)(0,3) (b) (0,1)(0,1) (c) (−2,0)(-2,0) (d) (−2,3)(-2,3)

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