The constant difference determines the degree. Polynomial Functions Unit Test Date: Tuesday: December 16 th Unit Objectives: Solve polynomial equations.

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Presentation transcript:

The constant difference determines the degree

Polynomial Functions Unit Test Date: Tuesday: December 16 th Unit Objectives: Solve polynomial equations Identify function attributes: domain, range, degree, relative maximums/minimums, zeros Write and graph polynomial functions Model situations with polynomial functions Today’s Objective: I can describe polynomial functions.

DegreeName 0Constant 1Linear 2Quadratic 3Cubic Number of terms Name 1Monomial 2Binomial 3Trinomial Classifying

End Behavior of a Polynomial Function − −10,000 10,000 0 Leading coefficient Even Degree Odd Degree ↑ and ↑↓ and ↑ ↓ and ↓ ↑ and ↓ a > 0 a < 0 Same Opposite

Degree: Turning points: Degree: Turning points: Local Extreme Values of Polynomial functions Local Extrema (turning points): At most n – 1 (one less than degree) Find with a calculator ([2 nd ], [calc]) Degree: Turning points: 3 0

Describing the shape of the graph Relative Minimum Relative Maximum End Behavior: Turning points: Increasing/decreasing intervals: Up and down (0.82, 1.09) (-0.82, -1.09) Decreasing: − ∞ to − 0.82 Increasing: − 0.82 to 0.82 Decreasing: to ∞ At most two Pg. 285: #8-36 even,