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Functions and Mappings: Core Concepts

This quiz tests understanding of fundamental function concepts including definitions, types (injective, surjective, bijective), properties (domain, codomain, range), and common function families (linear, quadratic, polynomial, rational).

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

What is a function?

  1. A relation between two sets where each element of the first set is paired with exactly one element of the second set
  2. A relation between two sets where each element of the first set is paired with at least one element of the second set
  3. A relation between two sets where each element of the first set is paired with at most one element of the second set
  4. A relation between two sets where each element of the first set is paired with more than one element of the second set
Question 2 Multiple Choice (Single Answer)

What is the domain of a function?

  1. The set of all elements in the first set
  2. The set of all elements in the second set
  3. The set of all elements that are paired with at least one element in the second set
  4. The set of all elements that are paired with exactly one element in the second set
Question 3 Multiple Choice (Single Answer)

What is the codomain of a function?

  1. The set of all elements in the first set
  2. The set of all elements in the second set
  3. The set of all elements that are paired with at least one element in the second set
  4. The set of all elements that are paired with exactly one element in the second set
Question 4 Multiple Choice (Single Answer)

What is the range of a function?

  1. The set of all elements in the first set
  2. The set of all elements in the second set
  3. The set of all elements that are paired with at least one element in the second set
  4. The set of all elements that are paired with exactly one element in the second set
Question 5 Multiple Choice (Single Answer)

What is an injective function?

  1. A function where each element of the domain is paired with exactly one element of the codomain
  2. A function where each element of the domain is paired with at least one element of the codomain
  3. A function where each element of the domain is paired with at most one element of the codomain
  4. A function where each element of the domain is paired with more than one element of the codomain
Question 6 Multiple Choice (Single Answer)

What is a surjective function?

  1. A function where each element of the domain is paired with exactly one element of the codomain
  2. A function where each element of the domain is paired with at least one element of the codomain
  3. A function where each element of the domain is paired with at most one element of the codomain
  4. A function where each element of the domain is paired with more than one element of the codomain
Question 7 Multiple Choice (Single Answer)

What is a bijective function?

  1. A function where each element of the domain is paired with exactly one element of the codomain
  2. A function where each element of the domain is paired with at least one element of the codomain
  3. A function where each element of the domain is paired with at most one element of the codomain
  4. A function where each element of the domain is paired with more than one element of the codomain
Question 8 Multiple Choice (Single Answer)

What is the inverse of a function?

  1. A function that undoes the original function
  2. A function that is the opposite of the original function
  3. A function that has the same domain and codomain as the original function
  4. A function that has the same range as the original function
Question 9 Multiple Choice (Single Answer)

What is a composition of functions?

  1. The process of combining two or more functions to create a new function
  2. The process of applying one function to the output of another function
  3. The process of finding the inverse of a function
  4. The process of determining the range of a function
Question 10 Multiple Choice (Single Answer)

What is an identity function?

  1. A function that maps each element of a set to itself
  2. A function that maps each element of a set to its inverse
  3. A function that maps each element of a set to its complement
  4. A function that maps each element of a set to its range
Question 11 Multiple Choice (Single Answer)

What is a constant function?

  1. A function that maps each element of a set to the same constant value
  2. A function that maps each element of a set to its inverse
  3. A function that maps each element of a set to its complement
  4. A function that maps each element of a set to its range
Question 12 Multiple Choice (Single Answer)

What is a linear function?

  1. A function whose graph is a straight line
  2. A function whose graph is a parabola
  3. A function whose graph is a circle
  4. A function whose graph is a hyperbola
Question 13 Multiple Choice (Single Answer)

What is a quadratic function?

  1. A function whose graph is a straight line
  2. A function whose graph is a parabola
  3. A function whose graph is a circle
  4. A function whose graph is a hyperbola
Question 14 Multiple Choice (Single Answer)

What is a polynomial function?

  1. A function whose graph is a straight line
  2. A function whose graph is a parabola
  3. A function whose graph is a circle
  4. A function whose graph is a hyperbola
Question 15 Multiple Choice (Single Answer)

What is a rational function?

  1. A function that is the ratio of two polynomial functions
  2. A function that is the sum of two polynomial functions
  3. A function that is the product of two polynomial functions
  4. A function that is the difference of two polynomial functions
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