Consider the piece-wise function h(x)= cases 2-x, & x 0

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the piece-wise function h(x)={2−x,x≤0,x2+1,0<x<3,x+5,x≥3.h(x)=\begin{cases}2-x, & x\le 0,\\ x^{2}+1, & 0<x<3,\\ x+5, & x\ge 3.\end{cases} List all maximal intervals contained in the domain on which hh is one–one.

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