Review2Fall2010 (1)

Review2Fall2010 (1) - MAC 1147 Review 2 Fall 2010 Exam 2...

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MAC 1147 Review 2, Fall 2010 Exam 2 covers Lectures 9-17 1. Classify the following functions as even, or odd, or neither even nor odd: (a) f ( x ) = 2 x ± 1 (b) f ( x ) = 1 p x 2 + 5 (c) f ( x ) = x 3 ± x (d) f ( x ) = j x j 2. Find the average rate of change f ( x ) = 1 1 ± x on the interval [ ± 3 ; ± 1]. 3. Given the piecewise de±ned function: f ( x ) = 8 > < > : x 2 if x < 0 x ± 1 if 0 ² x < 2 1 if x ³ 2 Find f ( ± 2) ; f (0) ; f (1) ; f (2) and f (4). On what open intervals is the function increasing, decreasing and constant? Find the local maximum and minimum values of the function if they exist. 4. List all re²ections, translations and stretching that are needed in order to obtain the graph of f ( x ) = ± 2 p ± x + 1 from the graph of y = p x . Find the domain of f and sketch its graph. What is the range of f ( x )? 5. Sketch the graph of 1 ± f ( x + 2) if f ( x ) = 1 x . Find all vertical and horizontal asymptotes of the graph. 6. Let f ( x ) = 1 x 2 and g ( x ) = p 1 ± x . Find: (a) ( f ´ g )( x ), ± f g ² ( x ) and their domains (b) ± f g ² ( ± 3) (c) ( f µ g )( x ) ; ( g µ f )( x ) and their domains (d) ( f µ g )(0) 7. Name two functions f and g such that ( f µ g )( x ) = ( x 2 + 4) 3 = 2 .
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This note was uploaded on 12/02/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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Review2Fall2010 (1) - MAC 1147 Review 2 Fall 2010 Exam 2...

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