Mathematics

Mathematics

Problem

Define the piecewise function h(x)={x2,x≤1,2x−1,x>1.h(x)=\begin{cases} x^2, & x\le 1,\\ 2x-1, & x>1. \end{cases} Which option correctly states the domain and range of hh? a) Domain : (−∞,1]:\,(-\infty,1], Range : [0,1]:\,[0,1] b) Domain : R:\,\mathbb{R}, Range : (1,∞):\,(1,\infty) c) Domain : R:\,\mathbb{R}, Range : [0,∞):\,[0,\infty) d) Domain : (−∞,∞):\,(-\infty,\infty), Range : [0,1]∪(1,3]:\,[0,1]\cup(1,3]

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