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Functions — Revision Notes

CMAT · Quantitative Techniques & Data Interpretation

Free Functions revision notes for CMAT Quantitative Techniques & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.

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An illustration defining a function as a rule mapping an independent variable (x) from a domain (D) to a dependent variable (y) in a range (R), using a simple example like y=f(x).
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Revision Notes — Functions

Key concepts, formulas, and definitions from Functions for CMAT Quantitative Techniques & Data Interpretation preparation.

Key Topics to Revise

1

Introduction to Functions

  • A function is a rule that assigns to every input value exactly one output value
  • Functions describe relationships between variable quantities
  • Domain is the set of all possible input values (x-values)
2

Methods of Representing Functions

  • Analytical representation uses mathematical formulas or equations
  • Tabular representation shows input-output pairs in table format
  • Graphical representation plots points on coordinate plane
3

Even and Odd Functions

  • Even functions satisfy f(x) = f(-x) for all x in domain
  • Odd functions satisfy f(x) = -f(-x) for all x in domain
  • Even functions are symmetric about y-axis
4

Inverse Functions

  • Inverse function exists only when original function is one-to-one
  • If y = f(x), then inverse is x = f⁻¹(y) or y = f⁻¹(x)
  • Domain of f becomes range of f⁻¹ and vice versa

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Key Concepts

A function is a ruleDomain is the set of allA function f(x) is even ifA function f(x) is odd ifThe inverse function f⁻¹(x) exists when

Frequently Asked Questions

What topics are covered in Functions for CMAT?
Functions is an important chapter in CMAT Quantitative Techniques & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Introduction to Functions, Methods of Representing Functions, Even and Odd Functions, Inverse Functions.
How important is Functions for CMAT?
Functions is a frequently tested chapter in CMAT Quantitative Techniques & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 52 practice questions available for this chapter.
How to prepare Functions for CMAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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