Define the piecewise function h(x)= cases x^2, & x 1, 2x-1, & x>1

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Define the piecewise function

h(x)=\begin{cases} x^2, & x\le 1,\\ 2x-1, & x>1. \end{cases}

Which option correctly states the domain and range of

h

? (a) Domain

:\,(-\infty,1]

, Range

:\,[0,1]

(b) Domain

:\,\mathbb{R}

, Range

:\,(1,\infty)

:\,\mathbb{R}

, Range

:\,[0,\infty)

(d) Domain

:\,(-\infty,\infty)

, Range

:\,[0,1]\cup(1,3]