7 Views

What is the difference between one-one and onto functions in NCERT Class 12 Maths?


Ravindra Pindel 13th Jul, 2020
Answer (1)
Ravindra Pindel 13th Jul, 2020

In NCERT Class 12 Maths, one-one (injective) and onto (surjective) functions are two important types of functions:

  • One-One Function (Injective): A function is one-one if different inputs give different outputs. This means no two elements in the domain map to the same element in the codomain. Example: f(x)=2x is one-one.
  • Onto Function (Surjective): A function is onto if every element in the codomain has at least one pre-image in the domain. This means the function covers the entire codomain. Example: f(x)=x3  is onto for real numbers.

A function can be both one-one and onto (bijective).

Related Questions

Amity University-Noida B.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
BML Munjal University | B.Tec...
Apply
A Hero Group Initiative | Up to 100% Scholarships | Highest CTC 32.99 LPA | Average CTC 8.45 LPA | Accepts JEE Score | Applications Closing Soon!
SRM University A.P UG Admissi...
Apply
UG Admissions Open 2026 | Highest CTC 52 LPA | Average CTC 9.09 LPA | 60+ Collaborations with the world's best Universities
Amity University-Noida MBA Ad...
Apply
Ranked among top 10 B-Schools in India by multiple publications | Top Recruiters-Google, MicKinsey, Amazon, BCG & many more.
Amity University-Noida BBA Ad...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Poddar Business School PGDM A...
Apply
Highest CTC 24 LPA | Average CTC 8.5 LPA | 1600+ Recruiters | 165+ Corporates Linkages
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books