Let be defined by g(x)= cases 2x+3, & x 1, (x-1)^ 2 +5, & x>1

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Let

g:\mathbb{R}\to\mathbb{R}

be defined by

g(x)=\begin{cases} 2x+3, & x\le 1,\\ (x-1)^{2}+5, & x>1. \end{cases}

Is

g

one-to-one on

\mathbb{R}

? Give a brief reason.

Related theory

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