📄 Exercise 3.3
Learn and practice Class 9 Mathematics Exercise 3.3 on Sets and Functions with step-by-step solutions. This page includes free downloadable notes and solved examples aligned with the PECTAA 2025 syllabus.
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Chapter 1
Real Numbers
Chapter 2
Logarithms
Chapter 3
Sets and Functions
Chapter 4
Factorization and Algebraic Manipulation
Chapter 5
Linear Equations and Inequalities
Chapter 6
Trigonometry
Chapter 7
Coordinate Geometry
Chapter 8
Logic
Chapter 9
Similar Figures
Chapter 10
Graphs of Functions
Chapter 11
Loci and Construction
Chapter 12
Information Handling
Chapter 13
Probability
Exercise 3.3 - Sets and Functions
This exercise focuses on relations, functions, and function evaluation including domain and range determination, function types, and solving function equations.
Exercise 3.3 provides practice problems that help students understand and work with relations and functions. The exercise covers various aspects including determining if a relation is a function, finding domains and ranges, evaluating functions at specific points, and solving for unknown constants in function definitions.
The exercise includes Cartesian products, relation definitions, function evaluation, and solving systems of equations to find unknown parameters in linear and quadratic functions.
Key Topics Covered
- Relations and their properties
- Cartesian products and relation definitions
- Domain and range of relations
- Function identification and types (injective, surjective, bijective)
- Function evaluation at specific points
- Solving for unknown constants in function definitions
- Linear and quadratic functions
- Solving function equations
Important Note:
Understanding the difference between relations and functions is crucial. Remember that a function is a special type of relation where each element in the domain is associated with exactly one element in the range. Pay attention to function notation and practice evaluating functions at different values to build strong foundational skills.
Created by Hira Science Academy | Aligned with PECTAA 2025 Syllabus