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Class 11MathematicsRelations and FunctionsFunctions as a special kind of relationEasyLevel 28

In a function f: A → B, what is A called?

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Answer and explanation

Correct answer: Domain

In the notation f: A → B, the set A contains the allowed input values and is called the domain of the function. The set B is the codomain, while the range consists only of the actual output values produced by elements of A. An inverse is a separate function or relation, not the name of A. Therefore option A is correct.

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domaincodomainrangefunctions

Frequently asked questions

What is the correct answer to this question?

Domain

Why is this the correct answer?

In the notation f: A → B, the set A contains the allowed input values and is called the domain of the function. The set B is the codomain, while the range consists only of the actual output values produced by elements of A. An inverse is a separate function or relation, not the name of A. Therefore option A is correct.

Which subject and chapter does this question cover?

This is a Class 11 Mathematics question. Chapter: Relations and Functions. Topic: Functions as a special kind of relation.

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10 more MCQs
  1. 1When is a relation from (A) to (B) called a function?
  2. 2If \(A=\{1,2\}\) and \(B=\{3,4\}\), which of the following relations from \(A\) to \(B\) is a function?
  3. 3Why is R = {(1,2), (1,3), (2,4)} not a function from A = {1,2} to B = {2,3,4}?
  4. 4If (A={a,b,c}) and (R={(a,1),(b,1),(c,2)}), which statement about (R) is correct?
  5. 5Which of the following statements is always true for a function?
  6. 6If \(f:A\to B\) is a function, what is \(B\) called?
  7. 7If \(g(x)=2x\) and \(A=\{1,3,5\}\), what is the value of \(g(3)\)?
  8. 8Which mapping idea correctly identifies a function?
  9. 9If a relation from the set A={1,2,3} to the set B={a,b} is given by 1→a, 2→a, and 3→b, what type of relation is it?
  10. 10If A = {1, 2, 3} and R = {(1, 2), (2, 3)} is a relation, why is R not a function from A to A?
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