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Unformatted text preview: MAC1147: Quiz #7
10/20/2009
In the topright 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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 Summer '08
 GERMAN
 Calculus, Black Ink, clean sheet, topright corner

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