Final Exam 2010

Final Exam 2010 - IB MATHEMATICS FINAL 2010 PART I(10...

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IB MATHEMATICS FINAL 2010 PART I (10 POINTS) Directions: You may not use a graphing calculator for this part. Partial credit may be given so make sure you show all work on your answer sheet. Round answers to the nearest tenth where applicable. Let f be the function defined by: 2 ) 3 ( 2 ) ( x x x f a. On what intervals is f increasing and decreasing? Find all relative extrema. [2] b. On what intervals is f concave up and down? Find all inflection points. [2] c. Determine the end behavior. [1] d. Sketch the function. [4] e. At how many points is there a horizontal tangent line? [1]

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IB MATHEMATICS FINAL 2010 PART I (10 POINTS) Directions: You may not use a graphing calculator for this part. Partial credit may be given so make sure you show all work on your answer sheet. Round answers to the nearest tenth where applicable. Let f be the function defined by: 3 4 ) ( 2 2 x x x f a. On what intervals is f increasing and decreasing? Find all relative extrema. [2] b. On what intervals is f concave up and down? Find all inflection points. [2] c. Find the vertical and horizontal asymptotes, if any. [1] d. Find the x and y intercepts. [1] e. Sketch the function. [4]
IB MATHEMATICS FINAL 2010 PART I (10 POINTS) Directions: You may not use a graphing calculator for this part. Partial credit may be given so make sure you show all work on your answer sheet. Round answers to the nearest tenth where applicable. Let f be the function defined by: 4 3 ) ( 2 2 x x x f a. On what intervals is f increasing and decreasing? Find all relative extrema. [2] b. On what intervals is f concave up and down? Find all inflection points. [2] c. Find the vertical and horizontal asymptotes, if any. [1] d. Find the x and y intercepts. [1] e. Sketch the function. [4]

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IB MATHEMATICS FINAL 2010 PART I (10 POINTS) Directions: You may not use a graphing calculator for this part. Partial credit may be given so make sure you show all work on your answer sheet. Round answers to the nearest tenth where applicable.
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• Fall '14
• Hertwreck
• Math, Derivative, Mathematical analysis, Limit of a function, Convex function, IB Mathematics

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