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Unformatted text preview: Exercises UF Calculus Set 4 1. Describe, in two steps, how to transform the graph of f ( x ) into the graphs of the functions: (a) f (2 x ) (b) 2 f ( x ) What graphs do you obtain if you reverse the two steps in each case? are they the same? 2. Use the displayed graph of f ( x ) to draw the graphs of the functions below (a) 1 + f ( x + 2) (b) 2 f (3 x ) (c) 2 f (3( x 2)) + 1 (d)  f ( x )  3. Starting with the graph of y = √ x , the graph of y = 1 /x , and the graph of y = √ 1 x 2 (the upper unit semicircle), sketch the graphs of each of the following functions: (a) y = 1 x + 1 (b) y = x 1 x (c) y = 4 + √ x + 2 (d) y = √ x (e) y = 2 + p 1 ( x 1) 2 (f) y = 2 r 1 ( x 3 ) 2 4. Given the functions f,g,h , write a simplified formula for the new functions listed. Include the domain of each. f ( x ) = √ x + 1 g ( x ) = 1 x h ( x ) = x 2 (a) f + g (b) f · g · h (c) h g (d) f · g x + 1 (e) f ◦ h (f) h ◦ f (g) f ◦ g (h) g ◦ f 5. Express each function as f ◦ g where...
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This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.
 Spring '08
 ALL
 Calculus, Geometry

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