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PracticeTest4 - Practice Test#4 Directions Use this...

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Practice Test #4 Directions: Use this practice test as a guide for your study for Test #4. This exam is not comprehensive, so study your class notes and homework problems in addition to completing this exam. Solutions are posted on the course website unde r “Solutions”. 1) Sketch the function 2 4 2 ) ( x x x f , where 2 2 8 ) ( ' x x f and 3 2 16 ) ( ' ' x x f by finding all the information below. Label each piece of information on your graph. x-intercept(s): _________ y-intercept(s): _________ VA: __________ HA: __________ Critical numbers: ________ Intervals of increase: __________ Intervals of decrease: _________ Relative min: ________ Relative max: ________ Inflection points: _________ Intervals of CU: _________ Intervals of CD: _________ 2) Find the absolute extrema of the function 24 12 3 2 ) ( 2 3 x x x x f on each interval: a) [-4, 0]. Absolute minima: ____________ Absolute maxima: ____________ b) [1, 5] Absolute minima: ____________ Absolute maxima: ____________
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3) If ) 8 4 ln( 5 ) ( x x f , find f’’(7). Simplify so that all exponents are positive. f’’(7) = ________________. 4) Sketch a graph with the following characteristics:
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