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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

• Determine intercepts, asymptotes

• Find critical values and points of inflection

• Determine intervals of increase and decrease

• Determine relative extrema

• Analyze and sketch

• Determine intercepts

• Determine asymptotes

• First derivative

• Second derivative

• Set first derivative =0 then test

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

• Set second derivative =0 then test

• Fill in all intercepts, asymptotes, and extrema