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Challenge 7-solutions

# Challenge 7-solutions - to(aqt73 Challenge 7 seckin(54330...

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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 ) correct 5. ( f g )( x ) = 9 radicalBig 9 x Explanation: 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 correct 3. b = 1 4. b = 1 5. b = 5 2 6. b = 7 4 Explanation: As 1 2 3 1 2 3 1 1 2 3 shows, the given graph is that of y = 1 5 2 sin 1 2 πx, in other words, the graph of y = 5 2 sin 1 2 πx shifted vertically by a term y = 1 and then ‘flipped over’ the line y = 1.

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Challenge 7-solutions - to(aqt73 Challenge 7 seckin(54330...

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