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Unformatted text preview: College Algebra Exam #3
Fall 2006 Name Show all Your work on this paper. Solutions without correct supporting work will not be accepted. All answers
Should be exact unless stated otherwise in the problem. 1. Graph f (x) = log 3 (x i l) . Find the exact values for all intercepts (E: asymptotes. x—int: y—int: 
Domain: ( l I 00)
Range: (__‘OO 300 ) Horizontal Asymptote: '3[(:)nf /
Vertical Asymptote: K : I 2. a. Write the exponential equation 43 2 64 as a logarithmic equation. . l . . . . .
b. erte logn x + 210g“ y ——loga 2 as a Single logarithm With coefﬁcrent 1. Assume all variables represent positive real numbers. \ X + \ 03‘52. .— l l 3
.‘2.
W
l 09“ are“ 3. a. Approximate to 4 decimal placei: log7 25 m I (0 5
Jill2 . _ I99; 1 . _
b. Given f(x)—log3(x—l),deterrrunei f (x) exrsts. lfso,tind1t.  it
Lb _ —l  MA'FDW on. /
3: [033.0(4) 3‘ l ’ . Solve the following system of equations using either MATRIX METHOD, Gaussian elimination with back
substitution or Gauss—Jordan elimination. List the row operations used at each step (For example: — 3121 4: R2) You may use ROWOPS or MTRXOPS. I
3x+3y+52=1 .3 3 S l "3% I I 5’3 “.3
_ 3 — 3 5 ‘1 o
3x+5y+9z—0 5 a} \o ._ 5 O
5x+9y+17z=0 5 ‘I \"l “" c1 17 b. 10gx+10g(3x—13):1 (3x + XXX" 5) 1 O {03 XCSXtﬁTIJ X: 2/3
10’: 3x1~13x 35536140 :0 q ‘ 6. Find a] , d, and an for the arithmetic sequence with $20 =1090 and am :102 .
The following formulas may be helpful. an: “+0105 “b lam25mg 7', Assume the cost of a loaf of bread is $2. With continuous compounding, ﬁnd the time it would take for the
cost to triple at an annual inﬂation rate of 6%. Round to the nearest tenth of a year. 3: god“; ,ny31.0(9£ 8. 21) Give an example of an arithmetic series. (SHAH Lo+€2+lo+... b) Give an example of a geometric sequence. 1 a) 701') “3) ca. 0) For each of the following ﬁnd the sum if possible. If not possible, explain wh'y. You may need to use the fonnulas listed in #6 above.
ﬁx‘h‘nite Sum
03F)" Geomeil'ric, ) r: ll3) 4‘ "b wets
3 30) S: '94—"  '13 z: [I 
l'r d. id‘ib 77/3 / 9. Sokve graphically and show all your work: Find the minimum and maximum values of the objective
funtion z = 2x + 4y subject to the following constraints. 7 3X+2y512 5x+y25 Z XZQyZO Covner glob mih '3 5L @(lJO)
Max: 2+} @ (cup) 10. 21) Write an equation for the line through (2,6) perpendicular to 3x + 2y : 4. Give your answer in slope— intercept form. Show all of your work z. ,_ our 8m; 2/3 \{s'riXhQ. awry; vieﬂu) __ Z
\l'lpztsQ‘X'l/s "b \l" RX JrigL b) For the polynomial f(x) : —x4 +2):3 + 3x2 ' o approximate each zero as a
decimal to the nearest tenth. ll. Solve algebraically. Write your answer in interval notation and express your solution on the number line.
Show all of your work.
3x2 + x — 4 2 O (3><+LDC><— DZO
EVOSI X: 'Ll’5)\ ...
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This note was uploaded on 01/12/2012 for the course MATH 1204 taught by Professor Duck during the Spring '08 term at NorthWest Arkansas Community College.
 Spring '08
 DUCK

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