Functions:Bijective

A function is bijective if it is both injective and surjective. That is, a bijective function maps each element of the domain to a distinct element in the codomain, and every element in the codomain is mapped to by exactly one element of the domain.

Examples of bijective functions:

• $f:A\to B,A=\{a,b,c\},B=\{1,2,3\}$ such that $f(a)=1$, $f(b)=2$, and $f(c)=3$
• $f:\mathbb {R} \to \mathbb {R} ,f(x)=3x+5$
• $f:\mathbb {R} \to \mathbb {R} ,f(x)=x^{3}$

Resources

• Course Textbook, pages 154-164