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Subjects
Class 11MathematicsRelations and FunctionsReal-Valued Functions, Their Domain and RangeMedium
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If \(f=\{(2,1),(4,2),(6,3),(8,4)\}\), what is the domain of \(f\)?

Answer and explanation

Correct answer: \(\{2,4,6,8\}\)

The domain of a relation or function is the set of first components of its ordered pairs. Here, the first components are 2, 4, 6, and 8, so the domain is \(\{2,4,6,8\}\). Option A is the set of second components, which represents the range. Exam tip: take the first entry from every ordered pair to find the domain.

Related tags

Relations And FunctionsDomainOrdered PairsRangeReal Valued FunctionsTheir Domain And RangeReal Valued Functions Their Domain And RangeMathematicsClass 11 Mcq
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10 more MCQs
  1. 1If A = {1,2,3} and R = {(1,2),(2,3)}, which element is in the domain of R but not in its range?
  2. 2If R={(2,5),(4,7),(6,9)}, what is the range of R?
  3. 3If A={1,2,3,4} and R={(a,b): a,b∈A, a+2=b}, what is the domain of R?
  4. 4What is the range of the relation \(R=\{(x,y): y=x^2,\ x\in\{-2,-1,0,1,2\}\}\)?
  5. 5If \(f:A\to B\) is a function, what is \(A\) called?
  6. 6What is the range of the function f = {(1,5), (2,5), (3,6)}?
  7. 7What is the domain of the function \(f=\{(2,4),(3,9),(4,16)\}\)?
  8. 8If \(f(x)=x+2\) and its domain is \(\{1,2,3\}\), what is the value of \(f(2)\)?
  9. 9If \(f(x)=x-1\) and \(A=\{2,3,4\}\), what is \(f(A)\)?
  10. 10If \(A=\{1,4,9\}\) and the function \(f(x)=\sqrt{x}\), what is \(f(A)\)?
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