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Unformatted text preview: 9A (NOTE: Be sure to bubble the answersto questions 1 through 20 on
your scantrom Part L? points each In problems 1 through 5 indicate Whether each of the fellowing statements
I is true or false. ' ‘ 1. A line perpendicular to the y—axis has slope 0. ﬂy
@True‘ ' pawnMM“ do”; _ ,5;
b. False l" '
_ magma; X
2. If y 2—53 then y. varies directly with :17.
a. True
b. False
.3. f($£') : ——7:1: islan odd function.
a. True lﬂwx) j “Weak? '1 “if” 7X} ’ “ﬁr/x}
1). False I ' _ 4. If f = 2:2 and 9(33) : 513', then the domain of g is all real numbers. 41' at 3/ FR a. True isms domaln. .(‘M r 0) U {9 i 00) M is on its graph, then What is f (3)? V‘VMQE'WWJ z o1 _ 1 WM g” 6.. If the function f is symmetricnbowgt the yaxis and the point (—3, 1) b". m1 . M3). A)
c. 3
d. —3   I 7. The slope of the line through the points (2, 3) and (2, ~—3) is
  xi?) . @Hndeﬁned ‘ “1%  ‘ . ' 01. —§ i'g gig'f‘ﬁ}
8. If f(;1:) 2 :52 —1,the_nf(3: — 1) equals _
a. f<x_1>1=$2_2   WM) 3 {WE w!
b. f(:c—_1):a;2 e r “‘3’ shawls; 
'@.f($—l)éx2~2x 5% gamg’ﬁ d.—f(a:— 1) 2:52—23:52 9. Which of the following graphs is / are'the graph of a function? only A'and Conly
C. A and B only d. none of these we; Ham! fines “Jagst 'f 10. The domain of the function. v4 m a: + ﬂ is wwb‘iaw"
hegee‘ We; a. (—oo,4] ® [014] 0. [4, d[— seems
x g; if
4, 0] PartII: 3' points each 11. Which of the following statements is / aretrue? _ ﬁx it"?
A; The slope of the line With the equation 4— 2:1: 2 0 is 2. “gig?” E?’ $ $92—95 I :2 i w}
is”? 3m; 3%? , C. If f : :3 and g is any filnction, then f. —l— g has the same dornain
' as    ‘f‘Vﬂﬂ a. A, Band C B. If f is an even function, then f : f shag, e. A and'B only 12. What is true about the circle 51:2 + y2 = 10 and the line y = 3:13? :03 examya" {3x231 3 King3x3“ fax? m? A‘E‘w‘l so wet“ am» P“? g 
a. They intersect only in the two points (1, 3) and (1, —3). g 3s 10. They intersect only in the hive points (+1, 3) and (—1; 7‘3“ @They intersect only in the two pOints (1: 3) and (_1="_3) ‘ I d. Theyintersect only in the four points (1,3), (1, ~51), (—1, 3) and
(—1,—3). clack ..><=l,y=3 = Futile Maw/0 V”   . '3 z: 3'/ r 5/
_ e. They do not intersect at all. xx"! .=~z: (’i)‘LMAzilei+9e/a / '
[7’ m3 9: 3'{ui) 13. What is the slope—intercept form of the equation of a line that is _
parallel to the line 2y+33 + 5 i 0 and goes through the point (2, —2)? a. y: ~22? + 1 whale, {ref Eggs:4 elf “1:2{3} 2y :: “xx WK“
. r: s . _ [kw “m. a" it. 1m
b. .y 2 2:2: — 1 (the WWW? f a»: g
5' ' l f ' Sea} M was? d y = ésc+ 1 Pt?“ MW e me}
if ‘9’ " '5’ f
e y 2 252: + 1 a , _ l
 :5”! V’ f
14. What is true about the followingsystem of equations?
33:? x+y=2 1+1. lx =32; l3
X 3 5“"“920 arr,“ 7:)(5/ CLlﬂﬂft : X :‘y : i] .‘I
.. ,  “W I = Mi'm 2, v’
b. The equatlons are dependent ' ﬁx: /, ; I a l/ a. The systemis inconsistent. c. The graphs oftthe equations are parallel lines. " . . . _ , my ﬂ" '
The system 18 consrstent. when; .sxnartgx 63m: tea/axles: flf‘j : e. None of the above. 15. For What value of k isthelinethrough'the points (1,0) ahd"(0,k:)
perpendicular to the line y t 2523 + l? ' ' 2; " e 4 lg, iglwﬂl‘:
31 k 2 siege . .3 _ _ .®k=% d' k— _l yE E’er 4" f 99.5 
. *— 2 T g i ' . . 3 l.
l w r. m www : «25' H. h was.
3_ k : 1 ﬁfﬁmﬂ’e‘gmtﬂr .5 @331 “ ﬁfﬁffﬁa “4 a. ,3 52' if: 16. 'W Varies directly with d AND it varies inverselywith T2. When d I 4
and 7' : 3 the value of W is 16. Then the formula relating W with d and 7° is ,7  a, _
f . a": aw I
W 6472  5% r?“ g? '
a. :  ‘
4Zd2 La is; w e? «a $5:
1). W = —?°~ .7
. 9 it: w r a? i; w I
c. W 2 5—62 _ a] I
. _ r t ' . ' — " d 3539* We ﬂ“ Sig we  was. “Leia;
d' W ‘ 36'!"2 ' _ f 3"" e, W : _36_d 17. Which of the graphs belongs to "the function . —:1:—2, if —.3§$£0
ifO_<:L‘§l
2 if1<33§3. 18. Which of the following expression(s) deﬁne(s‘) y as a function of :13? A.y:$3 B.33.2+y2=_1 C.y=:c2 D.y2:x .. e i ,t _ and C only _ r ‘3} W
._ ..7 ' M I” L if I
b. B andD only Y “31’ I K V "3“
C. C Eeyg'ir may”: Mﬂggésséﬁriig £635" #r y . j
. é' . d. C and D only _
e. B and C only I _ 19. Peter has left the water running in the‘lritchen sink. "The sink is 15 ’ inches deep. At 10' a.n1..the water level in the sink was at 2 inches ‘
and 15 minutes later it was already at 3 inches. The relation between
the timeit (measured in hours after 10 am.) and the water level w
(measured in inches) is linear. _ ' I What is the equation relating w and t? 3.w=1%75+2 “ r é rte at ﬂea b w : it+2 Emmi"; {ageﬂ} § (“:3 {'36) ' gamma _ ' 4 ﬁve—ﬂ» ‘I rm h ‘ V ,
c. 1w: 15t+2  — ' ‘53 .5 “"33 _
'  7 ' ﬁjﬂﬁiﬁ ‘E "'2'" 1: ML ﬂ (7L
w = 4t + 2  v :f ,3 .93. e.w=2t+15 “use; (Na:3, I 20. (Bonus!) .Which' of the following functiOns have the interiral [0, 00)
as their range? ,
Any{1:2 Egg—tins] Cryzﬁ D.y=:c3 (mm 7 ..~____m_‘.w
ME” (m h E r» '33“ w ft; r {M}.
Mfﬁwn ‘ v. a? j a. all of them . only A and B _ only A, B and. . only A and C I
e. only A and D MAC 1140, Test 3 A, Part II
Summer 2007 Section number:
UF ID: "Name;
Signature: SHOW ALL WORK TO RECEIVE FULL CREDIT! 1. Solve the folIOWing system of equations. ' (I)  3:1:
(I) 3 — ‘4‘ — 2
mi“; iﬁ é K  73?! “a 8
ii ”’(“Z}W £;L>< 4» go a; mom;
I +ﬁ 3x. B: 2“
?
I“) X *2; vii; ‘Ta : I‘ I'm (~13 ME" “563? Ml 2gp; m :5?“ if.“ h ,w
m \ a; .9 “ w m g€’n
f Ki; “‘5 . ~ I. a, ‘ g _ I X " g , ‘2? (I3 W‘g m iﬁegmif} w :63an
had Ta"? WM“ M “Mmmwwﬁma,vvvntwlmﬁnw .1 :5 ; I “EH m The solution set is: . ﬁg. . .'. . . . .. 2. Solve the following system of equations. “a? wk: 5‘ M ~ A
1 f3. A «a 3 “3:, ~“§ " s W 3; ' he: Eéfmfwlvéf . “wwsiw‘ I x': 3,}? 3 ﬂsz‘3f3; gngil'win‘ «:3 V” ﬂ: émg x w, 3. 21) Find the standard form of the equation of the circle that is given
by 2$2+2y2+8m—i2y+;8:0. )7 29
x2“ + ye“ v»— Iim'w is}; +9 «a» a m» 5f"  3. xiie 4M 7 +y say ' ‘ sud'3': if wewef #13" e $H<F§ i; 4;: 3""4é’yeQ x" f” Wan$4. we? ﬁt "21L ' I M 5' :2:
(it «E gm) sugiy» 5 g . . A . . . . u n . b) What is the midpoiht and What is the radius of this circle? Sketch
the circle in the coordinate system! ‘ I ‘ (X+L)l+ (9,3; w 3%
garage. _ a T . i an a; . (“9an
(was)  g . 4. If, f 4: 222 —> 3:23 —— 1 evaluate and simplify the follovving difference rm h) — m I
Wk . quotient: .a" .3 + Lr“ the 213‘ m: “‘5 3 F" :31 :ﬂﬁ W. o e. .. , jg.“ WWW“.mxmwwmwﬂ VL : a ( vx+2A v :3) 5. A motorboat starts at 10 am. to make a 10 miles trip down the river
and it arrives at;10.30 am. In the evening, due to heavy rainfall, the speed of the current has
doubled. Then the boat, going at the same average rate relative to
the water as inthe‘_rnorning, needs 1 hour and 15 minutes for the return trip. What is the speed 2: of the boat relative to the Water and What was
the speed 9; of the current in'the mOrning? Set up a system of two equations in two variables and solve it! 7 _ .30 W‘Lclﬁm‘ifé“ '3 ‘2; Luau?
.‘ i i499“? Emmi.“ inane" (w: «M = 4: my) : m (2::
E"  a \
if, (A wig} a ,s a arwmg, Mm
a + _» a. m g .I 3y “:3 Elk
' ; .E‘ “‘ ‘L.
H {E x + '3” x "=2 ’ la
y. . n m Nix], “alumna, We“
ﬁtmeﬂﬁ ﬁnitely«('2‘ m “L a {flatth 3, am :53
m K ‘ €{15“8)*%‘g is m /  Speed of the'boat: . “Plait . . . . . . . . .. ..qa Speed Of the current: . . . . . . . . . . . . . ...
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 Summer '08
 WILLIAMSON
 Calculus, Algebra

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