Practice Definition - 4.1 | 1. Relations and Functions | ICSE 12 Mathematics
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Definition

4.1 - Definition

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Practice Questions

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Question 1 Easy

Define a relation.

💡 Hint: Focus on how elements from two sets interact.

Question 2 Easy

What is a reflexive relation?

💡 Hint: Think of self-pairs.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a reflexive relation?

A relation with unique pairs.
A relation consisting of (x
x) for all elements.
A relation with only symmetrical pairs.

💡 Hint: Reflect on self-connections in sets.

Question 2

True or False: Every bijective function is also surjective.

True
False

💡 Hint: Consider the definitions of surjective and injective together.

2 more questions available

Challenge Problems

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Challenge 1 Hard

Create a function from set A = {1, 2, 3, 4} to set B = {x, y}. Can such a function be injective? Explain why or why not.

💡 Hint: Consider uniqueness in mappings.

Challenge 2 Hard

Consider sets A = {1, 2} and B = {a, b, c}. Define a function from A to B and evaluate its surjectiveness.

💡 Hint: Check the coverage of outputs.

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