Math 4 - roberts (eer474) – Homework 04 – windle –...

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Unformatted text preview: roberts (eer474) – Homework 04 – windle – (56747) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points Consider g ( x ) =- log 4 ( x + 4) . a) Find its domain. 1. (-∞ , ∞ ) 2. (-∞ ,- 4) 3. [- 4 , ∞ ) 4. (- 4 , ∞ ) correct 5. (-∞ ,- 4] 6. [0 , ∞ ) 7. None of these Explanation: 4 4- 4 g ( x ) =- log 4 ( x + 4) For real values of g ( x ), x + 4 > x >- 4 002 (part 2 of 3) 10.0 points b) Find the vertical asymptote. 1. x = 0 2. y =- 4 3. None of these 4. y = 4 5. x = 4 6. x =- 4 correct Explanation: g ( x ) =- log 4 ( x + 4) x → - 4 + = ⇒ y → ∞ , so the vertical asymptote is x =- 4 003 (part 3 of 3) 10.0 points c) Find the x-intercept of the function. 1. (- 4 , 0) 2. (0 , 0) 3. (- 3 , 0) correct 4. (1 , 0) 5. (6 , 0) Explanation: y = 0 ⇒ - log 4 ( x + 4) = 0 x + 4 = 4 x + 4 = 1 x =- 3 The x-intercept is (- 3 , 0)....
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This note was uploaded on 11/08/2010 for the course M 305G taught by Professor Léger during the Fall '08 term at University of Texas.

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Math 4 - roberts (eer474) – Homework 04 – windle –...

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