Welcome to the Sets and Functions MCQs Page

Dive deep into the fascinating world of Sets and Functions with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Sets and Functions, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Sets and Functions, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

Check out the MCQs below to embark on an enriching journey through Sets and Functions. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Sets and Functions. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Sets and Functions MCQs | Page 11 of 15

Explore more Topics under Discrete Mathematics

01

Logics and Proofs

02

Sequences,Sums and Matrices

03

Algorithms

04

Number Theory and Cryptography

05

Induction and Recursion

06

Counting Theory

07

Discrete Probability

08

Relations

09

Graphs and Graphs Properties

10

Tree Properties

11

Boolean Algebra and Modeling Computations

12

Group Theory

Q101.

The big-O notation for f(x) = 5logx is?

x²

x³

Discuss

Answer: (b).x

Q102.

The big-Omega notation for f(x) = 2x⁴ + x² – 4 is?

x²

x³

x⁴

Discuss

Answer: (d).x⁴

Q103.

What is the domain of a function?

the maximal set of numbers for which a function is defined

the maximal set of numbers which a function can take values

it is a set of natural numbers for which a function is defined

none of the mentioned

Discuss

Answer: (a).the maximal set of numbers for which a function is defined

Q104.

What is domain of function f(x)= x^1/2?

(2, ∞)

(-∞, 1)

[0, ∞)

None of the mentioned

Discuss

Answer: (c).[0, ∞)

Q105.

What is the range of a function?

the maximal set of numbers for which a function is defined

the maximal set of numbers which a function can take values

it is set of natural numbers for which a function is defined

none of the mentioned

Discuss

Answer: (b).the maximal set of numbers which a function can take values

Q106.

What is domain of function f(x) = x⁻¹ for it to be defined everywhere on domain?

(2, ∞)

(-∞, ∞) – {0}

[0, ∞)

None of the mentioned

Discuss

Answer: (b).(-∞, ∞) – {0}

Q107.

The range of function f(x) = sin(x) is (-∞, ∞).

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q108.

Codomain is the subset of range.

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q109.

What is range of function f(x) = x⁻¹ which is defined everywhere on its domain?

(-∞, ∞)

(-∞, ∞) – {0}

[0, ∞)

None of the mentioned

Discuss

Answer: (a).(-∞, ∞)

Q110.

If f(x) = 2^x then range of the function is?

(-∞, ∞)

(-∞, ∞) – {0}

(0, ∞)

None of the mentioned

Discuss

Answer: (c).(0, ∞)

Page 11 of 15

Welcome to the Sets and Functions MCQs Page

Sets and Functions MCQs | Page 11 of 15

Explore more Topics under Discrete Mathematics

Logics and Proofs

Sequences,Sums and Matrices

Algorithms

Number Theory and Cryptography

Induction and Recursion

Counting Theory

Discrete Probability

Relations

Graphs and Graphs Properties

Tree Properties

Boolean Algebra and Modeling Computations

Group Theory

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