Define the piece-wise function by f(x)= cases x+2,& x 1

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

Problem

Define the piece-wise function

f:\mathbb R\to\mathbb R

by

f(x)=\begin{cases}x+2,& x\le 1,\\ ax+b,& x>1,\end{cases}

where

a

and

b

are real constants. Which one of the following ordered pairs

(a,b)

makes

f

bijective on

\mathbb R

? (a)

(2,5)

(b)

(2,1)

(c)

(-1,4)

(d)

(0,3)

Related theory

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