Question

A function is said to be ______________ if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.

(a) One-to-many

(b) One-to-one

(c) Many-to-many

(d) Many-to-one

This question was addressed to me by my school teacher while I was bunking the class.

Query is from Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Correct option is (b) One-to-one

To explain: A function is one-to-one if and only if f(a)≠f(b) whenever a≠b.