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mth_251_simonds_final_exam_200804

mth_251_simonds_final_exam_200804 - MTH 251 Mr Simonds...

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MTH 251 – Mr. Simonds class – Fall Term, 2008 – Final Exam Page 1 of 8 MTH 251 – Final Exam Given December 11, 2008 Name 1. State the interval or values of x that satisfy each of the following properties with regards to the continuous function f whose first derivative is shown in Figure 1. In all cases restrict your answers to the interval ( ) 10,10 Please note that the correct answer to more than one of the questions is “nowhere” or “none.” Complete sentence answers are totally unnecessary. (1.25 points each) a. Over what intervals is f ′′ a linear function? b. Over what intervals is f a linear function? c. At what values of x does f have points of inflection? d. At what values of x do antiderivatives of f have points of inflection? e. At what values of x is f nondifferentiable? f. At what values of x is f nondifferentiable? g. At what values of x are antiderivatives of f nondifferentiable? h. At what values of x does f have a local maximum point? i. At what values of x does f have a local minimum point? j. Over what intervals is f increasing concave down? k. Over what intervals is f decreasing concave down?
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