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m01 - M408K Final Exam Review Day 2 1 Find the absolute...

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M408K Final Exam Review – Day 2 1) Find the absolute Maximum and Minimum of 4 2 ( ) 2 3 f x x x on 2,3 2) Which of the following functions satisfy the hypotheses of the Mean Value Theorem? A) 2 1 ( ) on [0,2] 2 f x x B) ( ) on [0,1] f x x C) 1 3 ( ) on [ 1,1] f x x 3) Suppose an expression for a function ( ) f x is given, and you are using calculus to sketch a graph of ( ) f x . Describe the process that you would use to for finding: a) Local Maximums and Minimums b) Points of Inflection c) Other points of interest for graphing purposes 4) For the function 4 3 ( ) 4 f x x x A) Find intervals of Increase and Decrease B) Find Local Maximum and Minimum C) Find intervals of concavity & inflection points. D) Sketch the graph 5) Find any vertical, horizontal, or oblique asymptotes of the function. 3 2 2 2 3 ( ) 2 x x x f x x x
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