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Formula Sheet

Relations And Functions — Formula Sheet

CG PET · Mathematics

All important formulas from Relations And Functions for CG PET Mathematics. Quick reference for revision and problem solving.

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A diagram illustrating a relation from set X to set Y, clearly showing the domain, range, and co-domain within the context of the sets and the mapping.
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Formula Sheet — Relations And Functions

Important formulas and equations from Relations And Functions for CG PET Mathematics.

Formulas — Relations And Functions

Cartesian Product

X × Y = {(x, y) : x ∈ X, y ∈ Y}
n(X × Y) = n(X) × n(Y)

Relations

Total relations from A to B = 2^(n(A)×n(B))

Functions

Total functions from A to B = (n(B))^(n(A))

Special Functions

Identity function: f(x) = x
Constant function: f(x) = c
Modulus function: f(x) = |x| = {x if x≥0, -x if x<0}
Signum function: sgn(x) = {1 if x>0, 0 if x=0, -1 if x<0}
Greatest Integer function: f(x) = [x]

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Frequently Asked Questions

What topics are covered in Relations And Functions for CG PET?
Relations And Functions is an important chapter in CG PET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Cartesian Product of Sets, Relations, Functions, Types of Functions.
How important is Relations And Functions for CG PET?
Relations And Functions is a frequently tested chapter in CG PET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 174 practice questions available for this chapter.
How to prepare Relations And Functions for CG PET?
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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