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Unformatted text preview: College Algebra Quiz #5 Name
Fall 2006 Show all your work on this paper. Solutions without correct supporting work will not be accepted. All answers
must be exact unless indicated otherwise. 1. Graph by h d: f (x) = 2”] + 3. Find the domain, range, all intercepts and all asymptotes. (5 points)
(I s 1) ximL: None/
HA: W3 2. Determine if f (x) = 2x3 + 5 has an in rse function. If so, ﬁnd it. Ifnot, explain why the inverse function doesnotexist. (6 points) [I] “b gum 1'!” 2rd“ wLS’LS _ 1
3. Write 3lnx—Elny+ln(z+l) as asingle logari n . new + MM) 3.— 4. Solve : log2 x + log2(x + 2) = 3 (5 points) 5. Ten thousand dollars is invested in an account that pays 5% interest compounded quarterly. Set up an equation that models the problem and ﬁnd the amount of money in the account after 15 years. Round your
ﬁnal answer to the nearest cent. (5 points) 41:
Mt) : lojoooﬂ + ALIS) : 10.00% I + eff”) .2: Em 7/. (I 6. The halflife of radioactive radium is 1620 years. If the present amount is 40 g, how much will remain after 100 years? Round your ﬁnal answer to 4 ﬂacimal places. (6 POiIItS) I (020 K in ( Haw '
h2leO—b aothCLC )”*>‘li1:€’ “bk: 1010
veg/xiii) Me): 406 “51° 1.99%.?
A000) : 4—06 a: 38. 3mg Bonus: Solve the following system of equations using either MATRIX METHOD, Gaussian elimination with back substitution or GaussJordan elimination. List the row operations used at each step (For example: 3R1 + R2)
You may use ROWOPS or MATRXOPS. (Up to 5 points) x—2y+3z=9 I “2‘ 3 q
—x+3y=—4 '] 3 O h—Li
2x—5y+52:17 L ‘5 5 '7 Manic. 1 "I. 3 0t 425% l 0 o I
“ZRI‘VES O I :lai —3g3+£; O l O ~l
O “l O O 1 L
121+R1 l O 0] lei
o l 3 ‘5
RL'HZE o O a 1+
,LK I 0 Cl N
2 5 O l 3 5
o o 1 94 ...
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