A function is defined on the interval with the following graphical description: • For

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

Problem

A function pp is defined on the interval [−3,5][-3,5] with the following graphical description: • For x<−1x<-1, pp follows the line segment joining (−3,1)(-3,1) to (−1,3)(-1,3). • At x=−1x=-1, the graph has an open circle at (−1,3)(-1,3) and a filled point at (−1,0)(-1,0). • For −1<x<2-1<x<2, pp is the constant function p(x)=0p(x)=0. • At x=2x=2, the graph has an open circle at (2,0)(2,0) and a filled point at (2,4)(2,4). • For 2<x≤52<x\le5, pp follows the line segment joining (2,4)(2,4) to (5,1)(5,1). List all xx-values in [−3,5][-3,5] at which pp is continuous.

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