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Fun Video: Types of Functions (Injective, Surjective & Bijective) Video Lecture | Mathematics (Maths) for JEE Main & Advanced

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FAQs on Fun Video: Types of Functions (Injective, Surjective & Bijective) Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What does it mean for a function to be injective?
Ans. A function is injective if every element in the domain is mapped to a unique element in the codomain. In other words, no two distinct elements in the domain are mapped to the same element in the codomain.
2. Can a function be injective but not surjective?
Ans. Yes, a function can be injective but not surjective. An injective function ensures that each element in the domain maps to a unique element in the codomain. However, it is not necessary for every element in the codomain to have a corresponding element in the domain.
3. What does it mean for a function to be surjective?
Ans. A function is surjective if every element in the codomain has at least one corresponding element in the domain. In other words, the range of the function covers the entire codomain.
4. Can a function be surjective but not injective?
Ans. Yes, a function can be surjective but not injective. A surjective function ensures that every element in the codomain has at least one corresponding element in the domain. However, it is possible for multiple elements in the domain to map to the same element in the codomain.
5. What is a bijective function?
Ans. A bijective function is a function that is both injective and surjective. It means that every element in the domain is mapped to a unique element in the codomain, and every element in the codomain has exactly one corresponding element in the domain. In simpler terms, a bijective function establishes a one-to-one correspondence between the domain and the codomain.
209 videos|443 docs|143 tests

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