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Unformatted text preview: EXAM 2: FALL 2008 M 305 G
EXAM A PLEASE SHOW ALL YOUR WORK PLEASE WAIT FOR ME TO ANNOUNCE THAT YOU SHOULD BEGIN THE TEST
BEFORE TURNING THIS PAGE EXAM 2: FALL 2008 305G
EXAM A (1) (16pt) Let ﬁx) 2 ~4a:(a: + — 3)3 a) (6pt) What are the zeros of and their multiplicities? 3. ‘5 sz/ ,5) L L i, 3
WWW“ l h) (Zpt) What is the degree of ﬁx)? 6 C) (8P0 Graph f($) . Lou tar Z o. ,_ ’+’
 x , 59‘
K x)
608‘ S (2) (20m) Let
2(33 —1)(at +1) Rwy): m2+x—6 i) (3pt) What is the domain ofR(;1:)? ‘ u a A
“W 36"?» 03 O/ “L, R VI»ny $301 +3)x—li:t© :2) he?» 1?
W‘A: %x  135,3) ‘x+2:\j ii) (4pt) Find the intercepts. _ _ 4
'X’CAW L Qkx):wo 1;) LX+")~/O A CARf‘ " i —;,.L
3’ W ~e 3 iii) (5pt) Find all the Asymptotes. \feracoL $3335“: xarg, 3431
W}OCQ/\bO/L Rad“ «, g: Q) iv) (8pt) Graph R(:c) with the given sign of the interval information. The function is positive in (—00, —3) The function is negative in (—3, —1) The function is positive in (—1, 1) The function is negative in (1, 2)
The function is positive in (2, oo) .
.
.
_
_ (3) (a) (5pt) Graph f(a:) = 3’: + 2 (b) (3pt) What is the domain of the function? Walk ((1) (3pt) What is the range of the function?
W a ( 'l , +633 (d) (3pt) What is the horizontal asymptote of the function? 3,): r: em Mimw “a” <4) (15m) Let M) = 39”" . Find the inverse of 22—5
,5):'7>
:28. a» >< : a “ti yr
5: x /5 “J's
I x «33:5y
 ,6 :3 7‘) j
2) *3 x ? 95L
“1) >6X ﬂ X43 gee/‘Lx);>( (5 Mm; MW“: H :23 3 %—a
\%¥ _/ El:
G; BXIWHB ‘5 (5) (10m) Let m) = —2. +1 i) (5131;) Find f(——1). WQKAB: ,1. 5+ i: ,3 ii) (Spt) If = ~49, ﬁnd Qﬂxx —;,, 7)) [vigft (LCD 9\ ‘5 ‘O :9, X:VL (6) (151313) Solve the following equation.
10g5(a: — 1) = 1 —10g5(:c + 3), 2: >1 . {—3331
\Og‘ébkm AC \ng X (7) (10pt) Give an exact number for the expression 1
10g5(5) —10g5( 3 25) +10g51 [*Bonus Problem (10pt)*] Find the domain of = log/g l We,“ “GO/A X XL+X466 I) 0
«PD K” A
XLJL’XerC’Q 7E V/ ?\ chl/IX’IKS
OAQ 0139 XCO
SQ /g 0 (2/
(o‘D///5>'p4 (vi/’ZIV
_ ‘ J 2: +
(/$/ {L +.’
(0/1) ‘I \ (2)003 ‘ “7 Ir/J/I” 1/
4’4,
~ 3
’\f\ (J‘s/Q) a:
xgﬁx+6 ...
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This note was uploaded on 10/25/2010 for the course M 305G taught by Professor Léger during the Fall '08 term at University of Texas at Austin.
 Fall '08
 Léger
 Geometry

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