A piecewise‐linear function passes through the points , ,

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A piecewise‐linear function gg passes through the points (0,0)(0,0), (2,3)(2,3), (5,3)(5,3), and (8,−1)(8,-1) in that order. Identify all open intervals on (0,8)(0,8) where f(x)f(x) is positive if g′(x)=f(x)g'(x)=f(x).

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