12. Determine the following and use algorithm to sketch the curve given by the function f(x) = x³ + 6x² + 9x [A: 6] a) Determine x and y-intercept(s) if exist b) State the asymptote (if exist). c) Determine the critical number (s) if exist, d) Use the critical number (s) you found in part c) and check if those critical numbers are local maximum or local minimum using the sign table. e) Determine its inflection point(s) if exist. f) Sketch the curve based on the above information.

12. Determine the following and use algorithm to sketch the curve given by the function f(x) = x³ + 6x² + 9x [A: 6] a) Determine x and y-intercept(s) if exist b) State the asymptote (if exist). c) Determine the critical number (s) if exist, d) Use the critical number (s) you found in part c) and check if those critical numbers are local maximum or local minimum using the sign table. e) Determine its inflection point(s) if exist. f) Sketch the curve based on the above information.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 55E

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