A continuous function is defined on with the following values: , ,

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

Problem

A continuous function hh is defined on [0,6][0,6] with the following values: h(0)=−2h(0)=-2, h(2)=3h(2)=3, h(4)=−5h(4)=-5, and h(6)=4h(6)=4. Give two disjoint open subintervals of [0,6][0,6], each of which must contain at least one zero of hh.

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