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