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
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.
Narayana Business School MBA/...
Apply
Top 30 Private B-Schools Nationally and Top 3 in Gujarat | Highest CTC- 20 LPA | Average CTC- 8.4 LPA | 40% Pre-Placement Offers | 670+ Recruiters 
Amity University | M.Tech Adm...
Apply
Asia’s only university to be awarded the highest accreditation by WASC, USA and by the Quality Assurance Agency for Higher Education (QAA), UK
JAGSoM PGDM Admissions 2026
Apply
Highest CTC 51.38 LPA | Median CTC 10.32 LPA | Top 25% Average CTC 14.32 LPA
IFMR Graduate School of Busin...
Apply
Application Deadline 15th Jan’26 | UGC Approved Programs | Near 100% Placement Record | Up to 100% Scholarships | Highest CTC 21.32 LPA
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