Relations and Functions MCQ Quiz

Question 1

What is a relation in mathematics?

• A set of ordered pairs

• A set of natural numbers

• A set of real numbers

• A set of integers

Question 2

What is the range of a function?

• Set of input values

• Set of output values

• Set of ordered pairs

• Set of real numbers

Question 3

If a relation is symmetric, what can be said about (a, b) and (b, a)?

• They both belong to the relation

• Only (a, b) belongs to the relation

• Only (b, a) belongs to the relation

• None of the above

Question 4

In a function, if each element in the domain corresponds to a unique element in the codomain, it is called:

• One-to-one

• Onto

• Many-to-one

• None of the above

Question 5

If a function is onto, what can be said about its range?

• It is equal to the codomain

• It is a subset of the codomain

• It is equal to the domain

• It is a subset of the domain

Question 6

What is the inverse of a function?

• The reflection of the graph over the x-axis

• A new function that "undoes" the original function

• The reciprocal of the original function

• The derivative of the original function

Question 7

If f(g(x)) = x for all x in the domain, what can be said about f and g?

• f is the inverse of g

• g is the inverse of f

• f and g are both invertible

• f and g are the same function

Question 8

What is the cardinality of the power set of a set with n elements?

• n

• 2^n

• n!

• n^n

Question 9

What is the domain of the function f(x)= √(4−x)?

• x ≥ 2

• −2 ≤ x ≤ 2

• x < 2

• x ≤ 2

Question 10

If f(x)=2x+3 and g(x)=x²−1, what is (f∘g)(x)?

• 2x²+5x+2

• 2x²+6x+5

• x²+5x+2

• 2x²+5x−2