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Unformatted text preview: rabbani (tar547) – Homework04 – Fouli – (58395) 1 This printout should have 27 questions. Multiplechoice 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 . 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, 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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This note was uploaded on 04/13/2010 for the course M 408 K taught by Professor Jouve during the Fall '08 term at University of Texas.
 Fall '08
 JOUVE

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