quiz7solutions - MAC1147: Quiz #7 10/20/2009 In the...

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Unformatted text preview: MAC1147: Quiz #7 10/20/2009 In the top-right corner of a clean sheet of paper, write your name, UFID, and section number. Please use a pen with blue or black ink. When you are nished, FOLD your paper in half lengthwise and write your name on the back. 1. Solve the following two systems of equations; use elimination on one and substitution on the other. You can choose which system gets which method, but if only use one method on both systems, then I will grade the one you do the worst on. (a) y − 3x = 4 3y − 2x = 12 Substitution: y = 4 + 3x ⇒ 3(4 + 3x) − 2x = 12 ⇒ x = 0 ⇒ y = 4 3y − 2x = 12 Elimination: y − 3x = 4 ⇒ 3y − 2x = 12 −3y + 9x = −12 ⇒ 7x = 0 ⇒ x = 0 ⇒ 3y − 2x = 12 y=4 (b) 3 x 2 1 x 4 + 4y − 2y = 10 = −3 Substitution: Elimination: 3 x 2 + 4y = 10 ⇒ 3 (8y − 12) + 4y = 10 ⇒ y = 2 = −12 + 8y + 4y − 4y = 10 3 ⇒ 2x = 4 ⇒ x = 2 ⇒ 2 (2) + 4y = 10 ⇒ y = = −6 x 3 x 2 1 x 2 7 4 ⇒x=2 2. Sketch a graph of f (x) = 3x−2 − 1. Label or list any intercepts and asymptotes. 1 7 4 The horizontal asymptote is y = −1, which comes directly from the vertical shift. 1 The y -intercept is found by setting x = 0: y = 3(0−2) − 1 = 9 − 1 = − 8 9 2 ...
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This note was uploaded on 12/27/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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quiz7solutions - MAC1147: Quiz #7 10/20/2009 In the...

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