Which one of the following statements correctly defines a one–to–one (injective)…

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

Problem

Which one of the following statements correctly defines a one–to–one (injective) function

f:A\to B

? (a) Every vertical line meets the graph of

f

at most once (b)

f(x_1)=f(x_2)

implies

x_1\neq x_2

(c)

f(x_1)=f(x_2)

implies

x_1=x_2

(d)

f(x_1)\neq f(x_2)

implies

x_1=x_2