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Relations and Functions

Quiz by Dr. Dishant Pandya

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20 questions
Show answers
  • Q1
    Which of the following is a function?
    Every element in the codomain can have more than one corresponding element in the domain.
    Every element in the codomain has exactly one corresponding element in the domain.
    Every element in the domain can have more than one corresponding element in the codomain.
    Every element in the domain has exactly one corresponding element in the codomain.
    30s
  • Q2
    30s
  • Q3
    30s
  • Q4
    Which one of the following relations is not a function?
    f(x) = x + 1
    f(x) = \frac{1}{x} where x \neq 0
    f(x) = x^3
    f(x) = \sqrt{x} where x \geq 0
    30s
  • Q5
    30s
  • Q6
    Which of the following is an example of a one-to-one function?
    f(x) = x^2 where x is any real number
    f(x) = |x|
    f(x) = 3x + 5
    f(x) = 2 \sin(x)
    30s
  • Q7
    30s
  • Q8
    Which of the following functions is not a polynomial function?
    f(x) = x^3 - 2x + 5
    f(x) = 4x^2 + 3x + 1
    f(x) = x^5 - x^3 + x - 7
    f(x) = \frac{1}{x}
    30s
  • Q9
    30s
  • Q10
    30s
  • Q11
    Which of the following statements correctly describes a one-to-one (injective) function?
    Every element of the codomain maps to at least one element in the domain.
    Every element of the domain maps to a unique element in the codomain.
    Every element of the codomain maps to a unique element in the domain.
    Every element of the domain maps to every element in the codomain.
    30s
  • Q12
    30s
  • Q13
    Which of the following is the definition of a surjective (onto) function?
    Every element of the domain maps to a unique element in the codomain.
    Every element of the codomain is mapped by at least one element of the domain.
    Every element of the codomain maps to a unique element in the domain.
    No element of the domain is mapped to more than one element in the codomain.
    30s
  • Q14
    30s
  • Q15
    30s

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