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Revision Notes
Function — Revision Notes
Gujarat Board · Class 11 · Statistics
Function revision notes for Gujarat Board Class 11 Statistics: 4 topics in quick points. Part of the Gujarat Board Class 11 Statistics syllabus.
44 questions20 flashcards5 concepts
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Key Topics to Revise
1
Definition and Basic Concepts of Functions
- A function is a unique relation between elements of two non-empty sets where each element of the first set has exactly one image in the second set
- For a relation to be a function, every element in the domain must have exactly one corresponding element in the codomain
- Functions are denoted by letters like f, g, h, and written as f: A → B
2
Types of Functions - Detailed Analysis
- One-One Function: Different inputs give different outputs (f(a₁) ≠ f(a₂) when a₁ ≠ a₂)
- Many-One Function: Different inputs can give the same output (f(a₁) = f(a₂) when a₁ ≠ a₂)
- Constant Function: All inputs give the same output (f(x) = c for all x in domain)
3
Equal Functions and Function Comparison
- Two functions are equal if they have the same domain and same functional values for every element
- Domain equality is necessary but not sufficient for function equality
- Equal functions must satisfy: f = g if Domain(f) = Domain(g) and f(x) = g(x) for all x in domain
4
Real Functions and Function Evaluation
- Real functions have domain and/or codomain as subsets of real numbers
- Function evaluation involves substituting values and simplifying expressions
- Domain restrictions occur when denominators become zero or expressions under square roots become negative
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Full NotesKey Concepts
A function from set AFor function fFunctions are denoted as fA function fA function f
Frequently Asked Questions
What are the important topics in Function for Gujarat Board Class 11 Statistics?
Key topics in Function include Definition and Basic Concepts of Functions, Types of Functions - Detailed Analysis, Equal Functions and Function Comparison, Real Functions and Function Evaluation. Study these first, then practise questions on each for Class 11 exams.
How should I revise Function for Class 11 exams?
Learn the core ideas first, then work through the 44 practice questions on Function. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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