Test+1+solution

# Test+1+solution - MATH 17100 28446 Test 1solution 09/21/...

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MATH 17100 28446 Test 1solution 09/21/ 2009 1. (a) Find the domain and sketch the graph of the function H given by 2 4 () 2 t Ht t . 2 4 (2 )(2 ) ( ) 2 , 2 22 t t t H t t t tt  Domain of is ( , 2) (2, ) H  Graph of H is the same as the graph of the equation 2, 2 y t t , a straight line with slope 1, y-intercept 2, and a hollowed point on the straight line at (2, 4). (b) Determine whether the function f given by 1 x fx x is even, odd, or neither. If it is neither, find the odd and even parts of f . 1 x x   which is not equal to 1 x x or 1 x x   . Hence f is neither even nor odd. Odd part of f is 2 1 1 ( 1) ( 1) [ ( ) ( )] [ ] 2 2 1 1 2( 1)( 1) 1 x x x x x x x f x f x x x x x x Even part of f is 2 2 1 1 ( 1) ( 1) [ ( ) ( [ ] 2 2 1 1 1) 1 x x x x x x x f x f x x x x x x   (20 pts) 2.

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## This note was uploaded on 11/04/2010 for the course MATH 17100 taught by Professor Kitchens during the Spring '10 term at IUPUI.

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Test+1+solution - MATH 17100 28446 Test 1solution 09/21/...

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