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thomas (tt9669) - HW01 - schultz - (55825) This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page...

This question was answered on Jan 20, 2013. View the Answer
Can you help me understand by explain and answer these questions questions 1-19. Thank You
thomas (tt9669) – HW01 – schultz – (55825) 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Which, iF any, oF the Following statements are true when a, b are real numbers? A. For all positive a and b , a + b = r a + 2 ab + b . B. For all positive a and b , a b a + b = a b . C. For all a and b , r ( a + b ) 2 = | a + b | . 1. A only 2. all oF them 3. none oF them 4. A and C only 5. B and C only 6. A and B only 7. C only 8. B only 002 10.0 points SimpliFy the expression f ( x ) = 3 + 15 x 4 1 15 p x x 2 16 P as much as possible. 1. f ( x ) = x 4 x + 16 2. f ( x ) = 3( x + 4) x 16 3. f ( x ) = x + 4 x + 16 4. f ( x ) = 3( x 4) x 16 5. f ( x ) = 3( x + 4) 2 x 16 6. f ( x ) = x 4 2 x + 16 003 10.0 points Let f be the quadratic Function defned by f ( x ) = 2 x 2 + 4 x + 34 . Use completing the square to fnd h so that f ( x ) = 2( x + h ) 2 + k For some value oF k . 1. h = 2 2. h = 1 3. h = 2 4. h = 4 5. h = 1 004 10.0 points By removing absolute values, express f ( x ) = 4 x 2 | x + 2 | as a piecewise-defned Function. 1. f ( x ) = b x + 2 , x > 2 , ( x + 2) , x < 2 .
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thomas (tt9669) – HW01 – schultz – (55825) 2 2. f ( x ) = b x 2 , x > 2 , 2 x , x < 2 . 3. f ( x ) = b 2 x , x > 2 , x 2 , x < 2 . 4. f ( x ) = b ( x + 2) , x > 2 , x + 2 , x < 2 . 5. f ( x ) = b x + 2 , x > 2 , ( x + 2) , x < 2 . 6. f ( x ) = b x 2 , x > 2 , 2 x , x < 2 . 005 10.0 points Which of the following statements are true? A. The domain of the function ( f · g )( x ) consists of the numbers x that are in the domain of both f and g . B. If no domain is speciFed for a function f , then the domain is taken to be the largest set of real numbers for which f ( x ) is deFned . C. The domain of the function f ( x ) = x 2 4 x is the set { x : x n = ± 2 } . 1. A only 2. B only 3. B and C only 4. none of them 5. A and B only 6. all of them 7. A and C only 8. C only 006 10.0 points Find the function g that is ±nally graphed after the following transformations are ap- plied in the order given to the graph of a function f : (1) re²ect about the x -axis; (2) shift down 6 units; (3) stretch vertically by a factor 2; (4) re²ect about the y -axis. 1. g ( x ) = 12 + 2 f ( x ) 2. g ( x ) = 12 2 f ( x ) 3. g ( x ) = 2 f ( x ) 12 4. g ( x ) = 12 2 f ( x ) 5. g ( x ) = 12 6 f ( x ) 007 10.0 points Which, if any, of the following functions are even? A. f ( x ) = 3 x 6 2 | x | B. f ( x ) = 3 r x 2 + 1 C. f ( x ) = 4 x 2 + 1 1. all of them 2. A and B only 3. A and C only 4. B and C only 5. C only 6. A only
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8421320.docx

Solution 1: All of them Option 2 is correct. Solution 2: Taking (x 4) and (x2 16) as L.C.M, we have Option 2 is correct. Solution 3: f (x) = 2x2 + 4x + 34 = 2 x2 + 4x + 2 + 32 = 2 (x2 + 2x + 1) +...

This question was asked on Jan 17, 2013 and answered on Jan 20, 2013.

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