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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...

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 .
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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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) +...

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