Unit 3-1: Higher-Degree Polynomials Functions Topics: Identify Graphs of Higher-Degree Polynomials Functions Graph Cubic and Quartic Functions Find Local.

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Presentation transcript:

Unit 3-1: Higher-Degree Polynomials Functions Topics: Identify Graphs of Higher-Degree Polynomials Functions Graph Cubic and Quartic Functions Find Local Extrema and Absolute Extrema Modeling Cubic and Quartic Functions

Higher-Degree Polynomial Functions Higher-degree polynomials functions with degree higher than 2.

Example of Higher-Degree Polynomial

Two Important Higher-Degree Polynomials

Key Features of Higher-Degree Polynomials In general, the graph of a polynomial function of degree n has at most n x-intercepts. Local Extrema Points - Turning Points on these graphs Local Minimum point- where the curve changes from decreasing to increasing Local Maximum point – Where the curve changes from increasing to decreasing Absolute Maximum Point – the highest point on the graph over an interval Absolute minimum point – The lowest Point on the graph over an interval

Sketch a Graph Sketch a graph of any polynomial function that has degree 4, a positive leading coefficient and two x-intercepts. Sketch a graph of any cubic function, a negative leading coefficient and three x-intercepts.

Local Maximum and Minima

Profit