MAT 150 – Class #20

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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 Polynomial Functions
• Higher-degree polynomials functions with degree ______________.
• Examples:
Two Important Higher-Degree Polynomials
• Cubic Function
• Quartic Function
Key Features of Higher-Degree Polynomials
• 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
Graph
• 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]?
Graph Questions

Use the given graph to graph to

• Estimate the x-intercepts
• Turning Points
• Positive or negative Coefficient
• Cubic or Quartic
Assignment

Pg. 424-429

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#5-8 all

#11-16 all

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#41, 44, 46