FinalRev - FALL 2009, MAP 103 ALGEBRA, FINAL REVIEW (1)...

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FALL 2009, MAP 103 ALGEBRA, FINAL REVIEW (1) Express y as a function of x for the expression: log 3 y = 2 + 4 log 3 (2 x ) . (2) Suppose f ( x ) = x + 1 ,g ( x ) = 2 x - 1 , and h (2) = 3 . Find f g h (2) . (3) Let f ( x ) = 1 2 x - 1 3 . Write a formula for the inverse and check that f f - 1 ( x ) = x. (4) Determine if the following are true or false. Circle T for true or F for false. If false, provide a counter-example. (a) T | F : log( a + b ) = log( a ) + log( b ) for a,b 0 (b) T | F : 2 x · 2 x = 2 2 x (c) T | F : log r x 2 y 3 z 4 ! = 1 2 [log(2 x ) + log(3 y ) - log(4 z )] (d) T | F : log( ab ) = log( a ) log( b ) for a,b 0 (5) Evaluate: log 2 2 + log 2 2 + log 2 2 2 + log 2 1 2 . (6) Let f ( x ) = x 2 + 6 x + 9 . (a) What are the coordinates for the vertex? (b) How many values of x satisfy the equation f ( x ) = 0? (c) What is the equation of the line that passes through the vertex that has slope 0? (d) What is the new equation for
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This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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FinalRev - FALL 2009, MAP 103 ALGEBRA, FINAL REVIEW (1)...

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