Polynomial Functions Unit 4. Polynomials Monomial—a number, variable, or product of numbers and variables all raised to whole number powers Polynomial.

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Presentation transcript:

Polynomial Functions Unit 4

Polynomials Monomial—a number, variable, or product of numbers and variables all raised to whole number powers Polynomial Expression--a monomial or sum of monomials. Polynomial Function—function that is defined by a polynomial expression Leading coefficient—coefficient of highest powered term Degree of polynomial—power of highest powered variable

Standard Form

Classifying Polynomials by degree d=0 Constant d=1 Linear d=2 Quadratic d=3 Cubic d=4 Quartic d=5 Quintic

Classifying by Number of Terms Monomial—one term Binomial—two terms Trinomial—three terms N-nomial—n terms

Classify by degree and number of terms.

Polynomial Function Polynomial equation used to represent a function

Graphs of Polynomial Functions ConstantLinear Quadratic Show graphs with positive and negative LC

End Behavior of Graphs

Graphs of Polynomial Functions

End Behavior of Graphs +Lead Coefficient-Lead Coefficient Even Degree Odd Degree

End Behavior of Graphs

To sketch the graph Determine the end behavior. Determine the x intercepts (where y=0)

Turning Points