Homework 13 - ib746 – Homework 13 – Radin –(58280 1...

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Unformatted text preview: ib746 – Homework 13 – Radin – (58280) 1 This print-out should have 25 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Consider the following functions: F 1 ( x ) = x 2 + x,- 1 ≤ x ≤ 1 , F 2 ( x ) = | x + 1 | ,- 1 ≤ x ≤ 1 , F 3 ( x ) = sin 2 x,- π/ 4 ≤ x ≤ π/ 4 . Which have an inverse on the given domain? 1. F 1 only 2. F 1 and F 2 only 3. F 2 and F 3 only 4. F 3 only 5. none of them 6. all of them 7. F 2 only 8. F 1 and F 3 only 002 10.0 points A function f is known to have an inverse f − 1 . Which of the following could be the graph of y = f ( x )? 1. 2 4- 2- 4 2 4- 2- 4 2. 2 4- 2- 4 2 4- 2- 4 3. 2 4- 2- 4 2 4- 2- 4 4. 2 4- 2- 4 2 4- 2- 4 5. 2 4- 2- 4 2 4- 2- 4 003 10.0 points Determine if f ( x ) = 8- 7 x has an inverse, and find this inverse if it does. 1. f − 1 ( x ) = 8 7 + 1 7 x 2. f − 1 ( x ) = 8 7- 1 7 x 3. f − 1 ( x ) = 1 7 x- 8 7 ib746 – Homework 13 – Radin – (58280) 2 4. f − 1 ( x ) = 1 8- 7 x 5. f − 1 ( x ) does not exist 004 10.0 points Find the inverse of f ( x ) = 1 + 2 x 3- 5 x . 1. f − 1 ( x ) = 3 x- 1 5 x + 2 2. f − 1 ( x ) = 3 x- 1 2 x + 5 3. f − 1 ( x ) = 2 x- 1 5 x + 3 4. f − 1 ( x ) = 3 x + 1 5 x + 2 5. f − 1 ( x ) = 3 x + 1 2 x + 5 005 10.0 points Find the inverse function, g , of f when f ( x ) = 2 x √ 16 + x 2 , ≤ x < 4 . 1. g ( x ) = 4 x 4- x 2 , x ≥ 2 2. g ( x ) = 4 x √ 4- x 2 , x ≥ 3. g ( x ) = 4 x √ 4- x 2 , x ≤ 4. g ( x ) = 4 x √ 4 + x 2 , x ≥ 5. g ( x ) = 4 x √ 4 + x 2 , x ≤ 6. g ( x ) = 4 x 4- x 2 , x ≤ - 2 006 10.0 points When g...
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This note was uploaded on 05/08/2008 for the course M 408k taught by Professor Schultz during the Spring '08 term at University of Texas.

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Homework 13 - ib746 – Homework 13 – Radin –(58280 1...

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