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3.6 Curve sketching

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# 3.6 Curve sketching - PowerPoint PPT Presentation

3.6 Curve sketching. Steps. Determine intercepts, asymptotes Find critical values and points of inflection Determine intervals of increase and decrease Determine relative extrema. Analyze and sketch. Analyze and sketch . Answer I. Determine intercepts. Answer II. Determine asymptotes.

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### 3.6 Curve sketching

Steps
• Determine intercepts, asymptotes
• Find critical values and points of inflection
• Determine intervals of increase and decrease
• Determine relative extrema
Analyze and sketch
• Analyze and sketch
Answer I
• Determine intercepts
Answer II
• Determine asymptotes
Answer III
• First derivative
Answer IV
• Second derivative
Answer V
• Set first derivative =0 then test

Rel. max. (0, -1/9)

Answer VI
• Set second derivative =0 then test
Sketch graph
• Fill in all intercepts, asymptotes, and extrema