Relations and Functions

Class 11 · Mathematics

92 questions33 easy35 medium24 hard

Sample Questions

Q1.The function g defined by g(x) = x² for 0 ≤ x ≤ 2 and g(x) = 3x for 2 ≤ x ≤ 10 is NOT a function because:

  • AThe domain is too large
  • BAt x = 2, x² = 4 but 3x = 6, giving two different values
  • Cg is not a polynomial
  • DThe range is empty

Q2.The graph of the identity function y = x passes through:

  • AOnly the x-axis
  • BOnly the y-axis
  • CThe origin
  • DThe point (1, 0)

Q3.A constant function f: R → R defined by f(x) = c has range:

  • AR
  • B{0}
  • C{c}
  • Dφ

Q4.If n(A) = 2 and n(B) = 3, the total number of relations from A to B is:

  • A6
  • B8
  • C64
  • D36

Q5.Let A = {1, 2} and B = {3, 4}. The number of relations from A to B is:

  • A4
  • B8
  • C16
  • D32

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Algebra of functionsCartesian productCartesian product of R with itselfCodomain of a relationConstant functionDomain and range of a functionDomain of a relationFunction definitionGreatest integer functionIdentity functionLinear functionModulus functionNumber of elements in Cartesian productNumber of relationsOrdered pairPolynomial functionRange of a relationRational functionReal valued functionRelationSignum function

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