midterm2 - EXAM 2: FALL 2008 M 305 G EXAM A PLEASE SHOW ALL...

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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.

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midterm2 - EXAM 2: FALL 2008 M 305 G EXAM A PLEASE SHOW ALL...

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