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# Discrete Mathematics | Functions MCQs

Discrete Mathematics | Functions MCQs: This section contains multiple-choice questions and answers on Functions in Discrete Mathematics.
Submitted by Anushree Goswami, on July 17, 2022

1. Set A is called the _____ of a function, and set B is called the Co-domain?

1. Domain
2. Co-domain
3. Both a and b
4. None of the above

Explanation:

Set A is called the Domain of a function, and set B is called the Co-domain.

2. The set P is called the domain of a function f if f is defined as a function from ____?

1. P to Q
2. f to Q
3. Q to P
4. Q to f

Explanation:

The set P is called the domain of a function f if f is defined as a function from P to Q.

3. Whenever f is a function from P to Q, _ is referred to as its Co-domain?

1. P
2. Q
3. f
4. None

Explanation:

Whenever f is a function from P to Q, Q is referred to as its Co-domain.

4. Range of a function is a ____ of its co-domain?

1. Set
2. Superset
3. Subset
4. None

Explanation:

Range of a function is a subset of its co-domain.

5. A function f between P and Q is a subset of ___ if P and Q are not empty sets?

1. P - Q
2. P + Q
3. P / Q
4. P x Q

Explanation:

A function f between P and Q is a subset of P x Q if P and Q are not empty sets.

6. A function f between P and Q is a subset of P x Q if P and Q are not empty sets, with the restriction imposed -?

1. ∀ a ∈ P, (a, b) ∈ f for some b ∈ Q
2. If (a, b) ∈ f and (a, c) ∈ f then b = c.
3. Both a and b
4. None of the above

Answer: C) Both A and B

Explanation:

A function f between P and Q is a subset of P x Q if P and Q are not empty sets, with the restriction imposed -

1. ∀ a ∈ P, (a, b) ∈ f for some b ∈ Q
2. If (a, b) ∈ f and (a, c) ∈ f then b = c

7. Representation of two sets P and Q is/are done by -?

1. One circle
2. Two circles
3. One square
4. Two squares

Explanation:

Representation of two sets P and Q are done by two circles.

8. A collection of ____ representing the elements of P and the elements of Q represents the function f: P → Q?

1. Squares
2. Lines
3. Arrows
4. Circles

Explanation:

A collection of arrows representing the elements of P and the elements of Q represents the function f: P → Q.