Functions: Definition and Notation
A function assigns exactly one output to every element of its domain. Formally, $f: A \to B$ is a relation $f \subseteq A \times B$ satisfying $\forall a \in A,\ \exists!
Summary
A function assigns exactly one output to every element of its domain. Formally, is a relation satisfying . The symbol means there exists exactly one.
🧠 Key Concepts
- Domain
- Codomain
- Range
- Function evaluation
- Existence and uniqueness
- Function equality
- Partial functions
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Functions: Definition and Notation
📘 Overview A function assigns exactly one output to every element of its domain. The notation specifies the allowed inputs and the set containing all outputs, while denotes the output assigned to input
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Part of 🌱 BSCS Year 1 — Computing & College Foundations
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