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Relations and Functions
Applied Mathematics · Chapter 1 · Unit 1: Relations and Functions
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Topics 4
- Relations on a set: identity, empty and universal relations; reflexive, symmetric, transitive and equivalence relations
- Functions as special relations; y = f(x); real-valued functions; domain and range
- Types of functions: one-one, many-one, into and onto
- Composite functions; conditions for invertibility; inverse of an algebraic function and its graph