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Answers to Worksheet for Section 3.1 1) ) (0, 1) ) opens up ) 0 ) 1 ) 1, 1 ) minimum value is 1 when 0 2) ) ( 3, 12) ) opens up ) 3 ) 3 ) ) minimum is 12 when 3 3) ) ( 1.5,24.5) ) opens down ) 1.5 ) 20 ) 5, 2 ) maximum is 24.5 when a V b c x d e f x a V b c x d e f x a V b c x d e f - = - - - = - - = - - - - - - - = - - = - - 2 2 2 2 9 2 5 2 1 2 1 2 1 12 1 3 3 16 1.5 4) ) (2, ) ) opens up ) 2 ) ) 1, 5 ) minimum of 4 when 2 5) ( ) ( 2) 2 6) ( ) ( 3) 3 7) ( ) ( 2) 3 8) ( ) ( 4) 7 x a V b c x d e f x f x x f x x
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