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Unformatted text preview: 1 TEST 1 SOLUTIONS 1.5pts Find the natural domain and range of ( 29 2 3 f x x = Since 2 3; 3 3 x x or x ≥ ≥ ≤  is the domain. Since 2 3 0; y x ≥ ≥ is the range. 2.5pts Explain why the function ( 29 ( 29 ( 29 ( 29( 29 2 2 1 2 1 x x f x x x + = + has one or more holes in its graph and a) state the xvalues at which those holes occur, The function is not defined if x = 2 or x = 1 b) find a function g whose graph is identical to that of f , but without the holes. ( 29 ( 29 ( 29 ( 29( 29 ( 29( 29( 29 ( 29( 29 2 2 1 2 1 1 1 2 1 2 1 x x x x x f x x x x x x + + + = = = + + + if we ignore the holes – so ( 29 1 g x x = + 3.8pts Sketch the graph of 1 2 1 y x = + by translating and reflecting the graph of 1 y x = . Graph intercepts and show any asymptotes as broken lines. Note that the intercepts Are (0, 1) and (1/2, 0) 4.9pts Let ( 29 ( 29 3 and 1 f x x g x x = = + . Find the following: a) ( 29 ( 29 ( 29 2 9 9 3 f g f = = = b) ( 29 ( 29 ( 29 4 2 9 g f g = = c) ( 29 ( 29 ( 29 16 4 2 f f f = = 2 5.5pts Sketch the graph of ( 29 2 2 1 y x = + by making appropriate transformations to the graph of a basic power...
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This note was uploaded on 12/26/2011 for the course MAC 2311 taught by Professor Staff during the Fall '08 term at FIU.
 Fall '08
 STAFF
 Calculus

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