ShiftQuizStudySheet_KEY - calculations for credit.-15-10-5...

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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 - a 1 / 6 3 1 / 2 (b) ( 3 x - x )( x - 3 x ) 2 x 5 / 6 - x - x 2 / 3 2. Find the inverse of the following function. State the domain and range of the inverse. g ( x ) = 2 - 2 x 1 + x 2 - x 2 + x D: x 6 = - 2 , R: y 6 = - 1 3. Suppose f ( x ) = 2 x +1 x - 3 and g ( x ) = 4 x 2 . (a) Find the domain of ( f g )( x ). D: x 6 = 0 , ± p 4 / 3 (b) Find ( f g )( x ). Simplify completely. 8+ x 2 4 - 3 x 2 4. Graph the function f ( x ) = - 2 ln ( x + 5). State the domain and range. Find the x and y intercepts, and asymptotes, and clearly label them on the graph. Show all
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Unformatted text preview: calculations for credit.-15-10-5 5 10 15-15-10-5 5 10 15 x = -5-4-2ln(5) D: x > -5 R: all real numbers 1 5. Finding logarithms. (a) Find log 3 14. Express your answer to the nearest hundredth. 2.40 (b) Find a if log 1 / 7 a =-1. 7 6. Write as a single logarithm: 3 log 5 ( x )-1 / 2 log 5 (5 x ) log 5 x 5 / 2 5 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 x = 3 (b) 2 x (7 4 x-1 ) = 3 7 x +2 2 log 3 + log 7-7 log 3 + 4 log 7 + log 2 2...
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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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ShiftQuizStudySheet_KEY - calculations for credit.-15-10-5...

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