Practice Domain, Co-domain, and Range - 2.3 | Chapter 1 – Relations and Functions | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the domain of the function f(x) = x + 3 if the domain is chosen from the set {1, 2, 3}?

💡 Hint: Just identify the set of input values.

Question 2

Easy

Given a function g: {A, B, C} → {1, 2}, what is the co-domain?

💡 Hint: Look at the output set of the function.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the domain of the function f: {x | x is an integer, x ≥ 0}?

  • All integers
  • All real numbers
  • All non-negative integers

💡 Hint: Focus on the restrictions mentioned in the function definition.

Question 2

Is the co-domain always equal to the range?

  • True
  • False

💡 Hint: Think about whether all potential outputs will be realized.

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Challenge Problems

Push your limits with challenges.

Question 1

Design a function with a set domain: {1, 2, 3} and a co-domain of {x, y, z}. If f(1)=x, f(2)=y, f(3)=z, discuss the range and the function’s implications.

💡 Hint: Identify how outputs relate to inputs and discuss uniqueness.

Question 2

Create a function with domain {0, 1, 2} but restrict its outputs only to positive integers. Examine the co-domain, range, and implications for the function.

💡 Hint: Consider the imposed limitations on outputs and how that alters their relationships.

Challenge and get performance evaluation