math118 winter06 test3

# math118 winter06 test3 - a Cal Poly State University Winter...

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Unformatted text preview: a\ . Cal Poly State University Winter 2006 H 5 M 118— Name: TEST # 3 NO CALCULATOR IS ALLOWED. “r Please show your work in order to receive a full or partial credit. No Work=No Credit. 0) SHORT QUESTIONS 1. TRUE or FALSE? Explain. ,en 2 5— En 2+3£n XL @ a) Lan3 :3Lr12x X "‘ b) LogS 24 is closer to 1 than to 2. . I 5 ’= 25 5 =5 . c) The range of g(x')=Lnx is the set of all real numbers. @ 2. What is the common logarithmic function? @ l 3. Find the domain of f('x) = ——~—-’——— Log: (x " 2) X'2>0 4052 [x—z.) #0 @ X>Z x—zae/ 4. f('x)= L0g4(_x — 2) . What is the inverse of t‘? x: Lojwy—z) / 425—2 I © _; EEX+Z / l7 5. Graph of F(x’)=5“' . Sketch y= F" (x). @ @ @ F-ICX) =- le5 X 6. Evaluate: Log,5(1)=o /.5°=/ L0g(100)= 2 ___1__= ._L. L035(6‘°°) '00 7Lug7pr) : y: L'og2(-2)= undefined 7. Solve for x: b) 10"“ = (0.1)“ /0- 2): ) XH " ID _ ’2" - (“-1 l0 : IO ) 0) Log” (x + 4) = LogS (2x + 6) x+4 = 2x+b Wed ./ - ~~ H Logl 8. 51m hry: L0 ,4—L0 (- + p g' g" “) LogIO _D Z “(—I) +0 7 ~ II. GRAPHING '1. F(_x')=3“’") — 2. Graph this ﬁinction using the following steps: a) What function will be a model (the initial function for transformations)? :I=3" b) What are the main points of the model? @ ® (0,!) , (1,3) c) List the transformations in proper order. DRe-FlecHDn m y—mx/s @ 2.) vm. stay: down; d) Graph the model and each transformed graph (label each graph). . :3” -_ 9 44:3’3," - 6) Find the domain of F: R 8 Find the range of F w E) Asymptote is = - 2. ED 69 ® 7 {-5 h) Y-intercept is :-l E? Q 3 .— z = 0 I i) X—interceptis X540 32.; at III. ALGEBRA 1. Solve the equation x4 + 2x3 — 7x1 - 20x — 12 = 0, given that x=3 and x=-2 are ’ roots. 3}) 2:1 -7_o~x2. (x (x+:)(x+z):0 2. Solve the following equations: b) 22w H ‘ was f3“) Wyaé ) / ﬂat?) 47‘5"?»ﬁ : (X'l) 6053 L I “a xix/pm» - a“??? ~ c) 3‘)? —-4x(3") = (—4)3‘ x 57'50 ,2» , _ ,1 ,7 X —I+,x -—+ ~ 3 —_r ’) 2! c1) Log + Log 2x =2 [95(ZXZ> "’1 ,><'=:?:SJ;Z @ 2x ‘2 mo p 7.: ED 5F X. 2— 6') Ln”: — 9) — LUCY + 3) = Ln(3x— 7) 2"- ﬁ’b ﬁx 6?) : 391(3X'7) X1“ ’2 X7é ‘ 3 X-E = 3x“? 3 W7. mgm‘w 4+ =Zx Extra credit: Expand the logarithm. Express the answer so that logarithms of products, quotients, and powers do not appear. 3/; _ I ;&W,[h,[(x-')CK+I)J— (x -1)(x + 1)-?"5 =: 2L!“ Cq—xz) __,[':ﬁ4, (It-I) + .2; .6“ (X-fO] : ( Ln ...
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