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3.6 Curve sketching

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

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  1. 3.6 Curve sketching

  2. Steps • Determine intercepts, asymptotes • Find critical values and points of inflection • Determine intervals of increase and decrease • Determine relative extrema

  3. Analyze and sketch • Analyze and sketch

  4. Answer I • Determine intercepts

  5. Answer II • Determine asymptotes

  6. Answer III • First derivative

  7. Answer IV • Second derivative

  8. Answer V • Set first derivative =0 then test Rel. max. (0, -1/9)

  9. Answer VI • Set second derivative =0 then test

  10. Sketch graph • Fill in all intercepts, asymptotes, and extrema

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