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Relations and Functions
Applied Mathematics · Chapter 2 · Unit 1: Sets and Functions
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- Ordered pairs and the Cartesian product of sets; number of elements in A x B; R x R
- Relations: 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
- Standard real functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer - graphs
- Algebra of functions: sum, difference, product and quotient