A SUMMARY OF CURVE SKETCHING

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A SUMMARY OF CURVE SKETCHING

• Section 3.6

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When you are done with your homework, you should
be able to

• Analyze and sketch the graph of a function.
•  

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Diophantus lived in 300AD. He was the most
famous algebraist of the ancient world. He
started the subject of Diophantine Analysis.
This is the study of

• Trigonometry.
• Physics.
• Integer solutions to equations.
• Probability.

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GUIDELINES FOR ANALYZING THE GRAPH OF A FUNCTION

• Determine the domain and range of the function.
• Determine the intercepts of the graph.
• Determine the asymptotes of the graph.
• Determine the symmetry of the graph.
• Locate the x-values for which and either
  are 0 or do not exist. Use these results to
  determine relative extrema, concavity, and points
  of inflection.

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EXAMPLE DISCUSS AND SKETCH THE GRAPH OF

• Step 1 Find domain
• Step 2 Find Intercepts
• Step 3 Find Asymptotes.

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EXAMPLE (CONTINUED) DISCUSS AND SKETCH THE
GRAPH OF

• Step 4 Symmetry
• Step 5 Find critical values for f and f

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DISCUSSION
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I LIKE USING THE CLICKERS DURING CLASS.

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I THINK YOU SHOULD USE THE CLICKERS NEXT SEMESTER.

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I LIKE IT WHEN YOU WRITE USING THE COMPUTER
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