problem4_pdf - rabbani (tar547) – Homework04 – Fouli...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 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 . 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....
View Full Document

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.

Page1 / 9

problem4_pdf - rabbani (tar547) – Homework04 – Fouli...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online