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Relations and Functions
Mathematics · Chapter 2 · Unit 1: Sets and Functions
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- Ordered pairs; Cartesian product of sets; number of elements in A x B; R x R and R x R x R
- Relations: definition as a subset of a Cartesian product; arrow diagrams; domain, co-domain and range
- Functions as special relations and mappings; y = f(x); domain, co-domain and range of a function
- Standard real functions and their graphs: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions
- Algebra of real functions: sum, difference, product and quotient