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Published byChrystal Jordan Modified over 8 years ago
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Relative Minimum
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Relative Maximum RELATIVE EXTREMA
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1 Relative Minimum Relative Maximum RELATIVE EXTREMA
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1 Relative Extrema
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2 Relative Extrema
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1 Relative Extrema 2 Relative Extrema RELATIVE EXTREMA
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1 Relative Extrema 2 Relative Extrema RELATIVE EXTREMA
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1 Relative Extrema 2 Relative Extrema RELATIVE EXTREMA
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1 Relative Extrema 2 Relative Extrema RELATIVE EXTREMA
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1 Relative Extrema 2 Relative Extrema Polynomial of degree n Can have as many as n - 1 And No More RELATIVE EXTREMA
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Polynomial of degree n Can have as many as n - 1 And No More RELATIVE EXTREMA
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Determine the Maximum Number of Relative Extrema for the Polynomial Functions below.
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Maximum Number of Relative Extrema 4 Maximum Number of Relative Extrema 3
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Fundamental Shapes of Graphs Polynomial Functions
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Quadratic Cubic QuarticQuintic
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n is even Both ends of the graph rise QuadraticQuartic
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n is even
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Both ends of the graph fall
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n is even a > 0 Both ends of the graph rise n is even a < 0 Both ends of the graph fall
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n is odd Right end of the graph rises Left end of the graph falls CubicQuintic
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n is odd
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Right end of the graph falls Left end of the graph rises
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n is odd a > 0 Right end of the graph rises Left end of the graph falls n is odd a < 0 Right end of the graph falls Left end of the graph rises
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Product of Linear (Binomial) Factors
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1 Degree Sum 1
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1
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1 1 1
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1 1
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1 1 3 3
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1 1 3
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1 1 3 1 1
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1 1 3 1 6
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f (x)
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Product of Linear (Binomial) Factors
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Degree 6
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