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Ch 6 - Graphing

Ch 6 - Graphing. Day 5 - Domain & Range. Domain. the set of all inputs that will have an output most types of graphs have the domain of all real numbers UNLESS: Rational Function Radical Function. Range. the set of all output that are possible from a given domain

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Ch 6 - Graphing

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  1. Ch 6 - Graphing • Day 5 - Domain & Range

  2. Domain • the set of all inputs that will have an output • most types of graphs have the domain of all real numbers UNLESS: • Rational Function • Radical Function

  3. Range • the set of all output that are possible from a given domain • MANY graphs will not have a range of all real numbers! • Maximums/Minimums • Restricted domains

  4. Linear Functions • Are they any restrictions on what you can put into a linear equation? • Does the line go on forever without any holes, gaps, asymptotes? • Are there any maximums or minimums?

  5. Quadratic Functions • Are there any restrictions to the inputs of a quadratic equation? • Do quadratics (parabolas) have maximums and minimums? • Always or sometimes?

  6. Cubic Functions • Are there restrictions to the domain of a cubic? • Are there maximums or minimums of a cubic function? • Are there any holes, gaps, or asymptotes to worry about?

  7. Quartic Functions • Are there any restrictions to the domain of a polynomial to the fourth degree? • Are there any maximums or minimums to worry about?

  8. Summary • the degree of a polynomial can give you a clue to the domain and range

  9. Determine the domain and range of the following functions • y = 3x - 2 • g(x) = 2x2 +4x - 10 • h(x) = (x-4)3 • t(x) = 4x4 - 6x3 - 7

  10. Radical Functions • Is there a difference between even roots and odd roots? • What are the domain restrictions for even radical? Odd radicals? • Are their minimums or maximums in either type?

  11. Rational Functions • Note: assuming the numerator is a constant (for now) • Is there anything that you can’t divide by? • Is there any answer that you can never get by division?

  12. Summary

  13. Determine the domain and range of the following functions

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