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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

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 Polynomial Functions
  • Higher-degree polynomials functions with degree ______________.
  • Examples:
two important higher degree polynomials
Two Important Higher-Degree Polynomials
  • Cubic Function
  • Quartic Function
key features of higher degree polynomials
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
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
Graph Questions

Use the given graph to graph to

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

Pg. 424-429

#1-2

#5-8 all

#11-16 all

#33-34

#41, 44, 46

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