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Challenge 7-problems

Challenge 7-problems - tion 5 f x is magnifed by a Factor...

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to (aqt73) – Challenge 7 – seckin – (54330) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the function f g given f ( x ) = sin x , g ( x ) = 9 x . 1. ( f g )( x ) = sin(sin x ) 2. ( f g )( x ) = sin 9 sin ( x ) 3. ( f g )( x ) = 9 sin x 4. ( f g )( x ) = sin ( 9 x ) 5. ( f g )( x ) = 9 radicalBig 9 x 002 10.0 points If -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 1 2 3 1 2 3 1 1 2 3 is the graph of y = a + b sin mx, ( m > 0) , on [ 4 , 4], what is the value of a ? What is the value of b ? 1. b = 7 4 2. b = 5 2 3. b = 1 4. b = 1 5. b = 5 2 6. b = 7 4 003 10.0 points The graph of f ( x ) = 4 cos parenleftBig x 4 parenrightBig is shown in the figure below. 4 π 8 π 4 4 How is f ( x ) different from g ( x ) = 4 cos x ? 1. None of these 2. f ( x ) is reflected over the y -axis and shrunk by a factor of 4 in the horizontal di- rection. 3. f ( x ) is shrunk by a factor of 4 in the horizontal direction. 4. f ( x ) is reflected over the y -axis and mag- nified by a factor of 4 in the horizontal direc-

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Unformatted text preview: tion. 5. f ( x ) is magnifed by a Factor oF 4 in the horizontal direction. 004 10.0 points Consider the Functions: f ( x ) = − 2 cos x g ( x ) = − 2 cos( x − 1 3 π ) Which statement best describes the relation-ship between the graphs oF f ( x ) and g ( x )? to (aqt73) – Challenge 7 – seckin – (54330) 2 1. g is a vertical shift of f upward by 1 3 π units. 2. g is a horizontal shift of f to the right by 1 3 π units. 3. g is a vertical shift of f downward by 1 3 π units. 4. None of these. 5. g is a horizontal shift of f to the left by 1 3 π units. 005 10.0 points Solve r 5 4 x − 1 − 12 = − 9 for x . 006 10.0 points Solve r 4 5 x + 10 − 4 5 = 4 5 for x . 007 10.0 points Solve 2 x = √ 3 x + 7 for x ....
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