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# hw4 - padilla(tp5647 Homework04 Fouli(58320 This print-out...

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padilla (tp5647) – Homework04 – Fouli – (58320) 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 , 4] uniondisplay [2 , 10) 2. ( 10 , 10) 3. ( 10 , 4) uniondisplay ( 4 , 10) 4. ( 10 , 4) uniondisplay ( 4 , 2) uniondisplay (2 , 10) 5. ( 10 , 2) uniondisplay (2 , 10) 002 10.0 points If the function f is continuous everywhere and f ( x ) = x 2 25 x + 5 when x negationslash = 5, find the value of f ( 5). 1. f ( 5) = 5 2. f ( 5) = 25 3. f ( 5) = 5 4. f ( 5) = 25 5. f ( 5) = 10 6. f ( 5) = 10 003 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. f is continuous everywhere 2. x = 1 , 3 3. x = 6 , 1 4. x = 6 , 3 5. x = 6 , 1 , 3 004 10.0 points Find all values of x at which the function f defined by f ( x ) = x 2 2 x 15 x 2 7 x + 10 , x negationslash = 5, 3 , x = 5,

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padilla (tp5647) – Homework04 – Fouli – (58320) 2 is continuous, expressing your answer in in- terval notation. 1. ( −∞ , 2) ( 2 , ) 2. ( −∞ , 2) (2 , 5) (5 , ) 3. ( −∞ , 5) ( 5 , 2) ( 2 , ) 4. ( −∞ , 5) ( 5 , 2) (2 , ) 5. ( −∞ , 2) ( 2 , 5) (5 , ) 005 10.0 points For which values of x is the function f ( x ) = x 2 x 2 + 2 not continuous? 1. x = 2 , 2 2. x = 2 3. f is continuous for all x 4. x = 2 5. x = 2 6. x = 2 , 2 006 10.0 points Find all values of x at which the function f defined by f ( x ) = 2 1 + cos x fails to be continuous.
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hw4 - padilla(tp5647 Homework04 Fouli(58320 This print-out...

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