What is the difference between one-one and onto functions in NCERT Class 12 Maths?
Answer (1)
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).
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