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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). @ @ @ FICX) = 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.
DReFlecHDn 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) Yintercept 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
XE = 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, (ItI) + .2; .6“ (XfO] : ( Ln ...
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 Winter '00
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 Math

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