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# MAT 150 – Class #20 - PowerPoint PPT Presentation

MAT 150 – Class #20. Topics: Identify Graphs of Higher-Degree P olynomials F unctions Graph Cubic and Q uartic Functions Find Local Extrema and Absolute Extrema Modeling Cubic and Quartic Functions. Higher-Degree Polynomial Functions.

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### MAT 150 – Class #20

• 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 polynomials functions with degree ______________.

• Examples:

• Cubic Function

• Quartic Function

• In general, the graph of a polynomial function of degree n has _____________n x-intercepts.

• Local extremaPoints - ____________on these graphs

• Local minimum point- where the curve changes from ________________________

• Local Maximum point – Where the curve changes from _________________________

• Absolute Maximum Point – the ______________on the graph over an interval

• absolute minimum point – The ______________on the graph over an interval

• Using the appropriate window, graph .

• Find the local maximum and local minimum, if possible.

• Where is the absolute maximum of this function on the interval [0, 6]?

Use the given graph to graph to

• Estimate the x-intercepts

• Turning Points

• Positive or negative Coefficient

• Cubic or Quartic

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