problem4_pdf - rabbani(tar547 Homework04 Fouli(58395 This...

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rabbani (tar547) – Homework04 – Fouli – (58395) 1 This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Functions f and g are defined on ( 10 , 10) by their respective graphs in 2 4 6 8 2 4 6 8 4 8 4 8 f g Find all values of x where the product, fg , of f and g is continuous, expressing your answer in interval notation. 1. ( 10 , 3) uniondisplay ( 3 , 10) 2. ( 10 , 3] uniondisplay [5 , 10) 3. ( 10 , 10) 4. ( 10 , 5) uniondisplay (5 , 10) 5. ( 10 , 3) uniondisplay ( 3 , 5) uniondisplay (5 , 10) 002 10.0 points If the function f is continuous everywhere and f ( x ) = x 2 9 x 3 when x negationslash = 3, find the value of f (3). 1. f (3) = 3 2. f (3) = 6 3. f (3) = 3 4. f (3) = 6 5. f (3) = 9 6. f (3) = 9 003 10.0 points Below is the graph of a function f . -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 2 4 6 2 4 6 2 4 2 4 Use this graph to determine all the values of x at which f fails to be continuous on ( 8 , 8). 1. x = 5 , 4 2. x = 1 , 4 3. x = 5 , 1 , 4 4. x = 5 , 1 5. f is continuous everywhere 004 10.0 points Find all values of x at which the function f defined by f ( x ) = x 2 x 20 x 2 9 x + 20 , x negationslash = 5, 10 , x = 5,
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rabbani (tar547) – Homework04 – Fouli – (58395) 2 is continuous, expressing your answer in in- terval notation. 1. ( −∞ , 5) ( 5 , 4) (4 , ) 2. ( −∞ , 4) ( 4 , 5) (5 , ) 3. ( −∞ , 5) ( 5 , 4) ( 4 , ) 4. ( −∞ , 4) (4 , 5) (5 , ) 5. ( −∞ , 4) ( 4 , ) 005 10.0 points For which values of x is the function f ( x ) = x 9 x 2 + 7 not continuous? 1. x = 7 , 7 2. x = 9 3. f is continuous for all x 4. x = 7 5. x = 7 6. x = 9 , 7 006 10.0 points Find all values of x at which the function f defined by f ( x ) = 7 1 + cos x fails to be continuous.
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