Purp_Ch5Exam_KEY - Name: KEY Chapter 5 Exam 04/14/2011...

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Name: KEY Chapter 5 Exam – 04/14/2011 Algebra II Honors – Mr. Petach Please circle your answers and show your work for credit . Calculators may be used on this exam. 1. Simplify the following expressions. Use only positive fractional exponents in your answer. (a) 12 a 2 (27 a ) 1 / 3 2 a 2 / 3 3 1 / 2 (b) ( 5 - 2)( 5 + 3) 5 1 / 2 - 1 2. Find the inverse of the following function. State the domain and range of the inverse. g ( x ) = 3 x - 1 x + 2 f - 1 ( x ) = - 2 x - 1 x - 3 D: x 6 = 3 R: y 6 = - 2 3. Suppose f ( x ) = x +1 x +3 and g ( x ) = 4 x . (a) Find the domain of ( f g )( x ). D: x 6 = 0 , - 4 / 3 (b) Find ( f g )( x ). Simplify completely. ( f g )( x ) = 4 + x 4 + 3 x 1
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4. Graph the function f ( x ) = ln (2 x + 15). State the domain and range. Find the x and y intercepts, and asymptotes, and clearly label them on the graph. Show all calculations for credit. -15 -10 -5 0 5 10 15 -15 -10 -5 0 5 10 15 x = -7.5 -7 ln(15) D: x > -7.5 R: all real numbers 5. Finding logarithms.
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Purp_Ch5Exam_KEY - Name: KEY Chapter 5 Exam 04/14/2011...

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