Practice One-to-One Function (Injective Function) - 2.2.1 | 1. Relations and Functions | ICSE 12 Mathematics
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One-to-One Function (Injective Function)

2.2.1 - One-to-One Function (Injective Function)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Identify if the function f(x) = 3x + 1 is injective. Why?

💡 Hint: Consider what happens with different x-values.

Question 2 Easy

What is the definition of an injective function?

💡 Hint: Think about what injective means in terms of pairs.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is an injective function?

A function where every output has a unique input.
A function that is surjective.
A function with no restrictions.

💡 Hint: Think about unique mappings.

Question 2

True or False: If f(a) = f(b) for a function f, then a = b.

True
False

💡 Hint: Consider what happens with injective functions.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove whether the function g(x) = 4x - 5 is injective and explain your reasoning.

💡 Hint: Use algebraic manipulation to explore.

Challenge 2 Hard

Consider the function h(x) = sin(2x). Is it injective over the interval [0, π] and why?

💡 Hint: Assess the behavior of sine over the interval.

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