ShiftQuizStudySheet - x and y intercepts, and asymptotes,...

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Name: Shift Quiz Study Sheet Algebra II Honors – Mr. Petach Please write your answers on a separate sheet 1. Simplify the following expressions. Use only positive fractional exponents in your answer. (a) 3 - 8 a 2 2(3 a ) 1 / 2 (b) ( 3 x - x )( x - 3 x ) 2. Find the inverse of the following function. State the domain and range of the inverse. g ( x ) = 2 - 2 x 1 + x 3. Suppose f ( x ) = 2 x +1 x - 3 and g ( x ) = 4 x 2 . (a) Find the domain of ( f g )( x ). (b) Find ( f g )( x ). Simplify completely. 4. Graph the function f ( x ) = - 2 ln ( x + 5). State the domain and range. Find the
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Unformatted text preview: x and y intercepts, and asymptotes, and clearly label them on the graph. Show all calculations for credit. 5. Finding logarithms. (a) Find log 3 14. Express your answer to the nearest hundredth. (b) Find a if log 1 / 7 a =-1. 6. Write as a single logarithm: 3 log 5 ( x )-1 / 2 log 5 (5 x ) 7. Solve each of the following equations. Report your answer in exact form. (a) log 5 ( x-2) + log 5 x-log 5 3 = 0 (b) 2 x (7 4 x-1 ) = 3 7 x +2 1...
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This note was uploaded on 05/13/2011 for the course MATH 101 taught by Professor Impemba during the Fall '10 term at Grand Valley State University.

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