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Test_3_Solutions

Test_3_Solutions - MATH 110 Test 3 Name swag-w Instructions...

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Unformatted text preview: '\ MATH 110 Test 3 October 22, 2009 Name: swag-w Instructions: Show all work. Partial credit will be given. 1. Find f'1(y): a. f(x) = 4x — 3 (5 points) 62/1491? é’o/V‘E’ JV X‘ :' gee 9x833 QX'3‘3 2 50 FW’L'): :1; X a J 64 b. f(x) = b" (5 points) ¢ .2, , c. 5t) 'j’ébj’é’,‘ Ayxrij Xr/Zaejb j y 7 c. f(x) = 3" —~ 5 (5 points) 56 £ ‘3 X‘ 5' :j : +8 2. Graph f(x) = log(x) and clearly label your graph. Does the graph have any asymptotes? If so, write their equations. (10 points) \$09) 5:50 Ans 6‘; “(3.951(ng éijltjmphiﬁ c736 ‘ 3. Let logx = 2 and logy = 3. Evaluate the following: x3 . a. log (—y—2 (10 pomts ) ’2. .‘ r.” /.¢‘L “ Juli/0i 3 : 313°?" 2 0/] 3 in. log (xy) (10 points) ﬂag (kg) '3 fag X 'i’fégfj ‘5 2 7’3 ‘38 4. Find a formula for f0g(x) if f(x) = logbx and g(x) = I)”. (10 points) 3065;; \$91300) = rrﬁ’") == kljé 2;“ : 22x . , _ ' log6(10x) _ _ 5. Fmd all numbersxthat satisfy the equation. logde) — 3. (10 pomts) . , 3 (/OX) : jajé l0 fjﬂﬁé K 7- 3 2,33% X ,I'O "jcygéz - ‘ ‘“ , ,. 5' ")0 WWW) «@554 +19%" emit; (a? u .l , , , I , if! /0 +jayéx w; 3/0ij fﬁﬂojex A7295 K ’ ii 170% (8’ ,_ g ,. '. 9 i3 (/2, ﬂjojex ’Ié’ﬂ’lb gﬁj’éi : ﬁfe (av NW 6. How many digits does the number 1035995 have? (10 points) . 35‘795’ , ‘ 5 [25777953 Witt») , SM 02. 33"‘957’5/ 3% «’4 ﬁe. M472 W42“ [0 mgr/mt gm‘m \$5réj- 7. What are the equations for the horizontal and vertical asymptotes of the function f(x) = 31—— S. (10 points) HDi’z‘ifom fzvé ﬁfj/vV/pﬁk ‘. y if vé’ 8. Find all real numbers that satisfy the equation: x - 8x5 + 12 = 0. (10 points) 3 27.7. 33 H9. =0 F] 3» W j ‘l z, . sum j: 75:, yxm , 50 xz'é’l :Jé M N R "L/ 9. Extra Credit: Write the following expression in the form 60:) + Egg— , where q is the denominator of the given expression and G and R are polynomials with deg (R) < deg (q). (10 points) ax2+bx+c x C {MM ‘1'“ 5‘ ,1 M AX _M [ox +76 ...
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Test_3_Solutions - MATH 110 Test 3 Name swag-w Instructions...

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