MAC 2233 Chapter 5 Project

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MAC 2233 Chapter 5 Project

• Craig Burton
• Kinnel Charles
• Louis Aguila
• Mark Parrott
• Reena Mistry

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Problem 2

• Sketch the graph of
• Determine
• Relative Extrema
• Inflection Points
• Asymptotes

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1. Relative Extrema

Determine the critical points
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Evaluate sample points
Relative Maximum at (-2,-11) Relative Minimum at
(2,21)
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1. Inflection Points

No Inflection Points
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1. Asymptotes

Vertical Asymptotes
Vertical Asymptote at x 0
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Horizontal Asymptotes
No Horizontal Asymptotes
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Problem 8

• Sketch the graph of
• Determine
• Relative Extrema
• Inflection Points
• Asymptotes

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• Relative Extrema

Determine the critical points
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Evaluate sample points
No Relative Maxima Relative Minimum at (1,1)
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1. Inflection Points

No Inflection Points
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1. Asymptotes

Vertical Asymptotes
Vertical Asymptote at x 0
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Horizontal Asymptotes
No Horizontal Asymptotes
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Problem 9

• Sketch the graph of
• Determine
• Relative Extrema
• Inflection Points
• Asymptotes

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1. Relative Extrema

Determine the critical points
No Relative Maxima No Relative Minima
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1. Inflection Points

Evaluate sample points
Point of Inflection at (0,0)
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1. Asymptotes

Vertical Asymptotes
Vertical Asymptotes at x -2 and x2
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Horizontal Asymptotes
Horizontal Asymptote at y0
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Thank You!