Which of the following statements correctly defines an injective (one-one) function ?

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

Problem

Which of the following statements correctly defines an injective (one-one) function

f:A\to B

? (a) For every

y\in B

, there exists

x\in A

such that

f(x)=y

(b)

f

is both one-one and onto (c)

f(x_1)=f(x_2)

implies

x_1=x_2

for all

x_1,x_2\in A

(d)

f(x_1)=f(x_2)

implies

x_1\neq x_2

for all

x_1,x_2\in A