Last Name: First Name: 22.) p(x) 23.) r(x) 31f -‘j-3- F~l≤€. Tcue 1.) 2.) 3.) 4.) 5.) 6.) 7.) 8.) 9.) 10.) 11.) raise 12.) 13.) 14.) 15.) 16.) 17.) 18.) 19.) 20.) 21.) 2 ~ Ia atS e”Z ~i!≤~±~~’ S eZ_I -2 25 ‘Lit 10,0cc 8~ ~2-7 ‘1 LI. Xli x-~3/ x-~’
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Last Name: First Name:
22.) p(x) 23.) r(x)
31f -‘j-3-
F~l≤€.
Tcue
1.)
2.)
3.)
4.)
5.)
6.)
7.)
8.)
9.)
10.)
11.)
raise
12.)
13.)
14.)
15.)
16.)
17.)
18.)
19.)
20.)
21.)
2
~Ia atS
e”Z~i!≤~±~~’
S
eZ_I
-2
25
‘Lit
10,0cc
8~~2-7
‘1
LI. Xli x-~3/ x-~’
24.) e’~ 25.) 1og~(x)
26.) ex — 1 27.) 1og~(x + 2)
—I
—z)A
28.) f(x) 29.) g(x)
*
a
It -I, -3 zat
-9
Third Practice Exam
For #1-6 write the entire word “flue” or the entire word “False”.
1.) aXaY=ax_Y
2.)~=a~ False -ara3.) 1og~(zw) = 1og~(z) + 1og~(w) True.
4.) log~(z’°) = iog~(z)tU = ~ I (a-)
5.) 1og~(~) = log~(z)1og~(w) Rise. i~~(~j)~ loja(tuio3a(v1)6.) (at’ = a~’+V Raise (aX ~
7.) Write 59285—9005—26 as a rational number in standard form.928-?oo-2C z
5
8.) Write (4~)~ as a rational number in standard form.
3Lj. $ ~2! = (LI.
9.) Write 1,000, 00O~ as a rational number in standard form.2, ~
I,000,00o = 10’ ~= 10 = 10,000
10.) Write (~)1 as a rational number in standard form.
@4i’~ =(~V4= (~
11.) Write 1og10(10, 000) as a rational number in standard form.
Io~ (ioj
12.) Write log5( ‘~4~) as a rational number in standard form.
)o55(’c~r- ~,
13.) What is the greatest integer that is less than log4(50) 7
It <5~<Lfr
So 102 (z.ta) < Iojit(5Q’)~ 10139.~a tkus, 2 <Iocj~.~ (50’) < 3
14.)Solveforxifex=5 J
~ I~~(s~)
15.) Solve for x if log4(x) = —3(Write your answer as a rational number in standard form.)
XrLfr
16.) Solve for x if 4e~3 = 8
e =2
jo~ (z~
Y-~
17.) Solve for x if log6(x + 2) — 7 = 9
103€ (x+ z)= 1~
~÷2= eI’cze -2
18.) Solve for x if e3~4 =
e
Sx=
5
19.) Solve for x if log~(x2 + x) — 2 = log~(x)
~2tO
J0~(t~j?-~) -2=0
20
~e.e’—j
20.) Find a root of x3 + x2 — x + 2
Factors e& 2 are Z,-2
-z is o. root S~nct
21.) Completely factor 4w3
8 —3
1113 Q-t2-si+3
— 4~2 — 5w + 3 (Hint: —1 is a root.)
—I Lf. Lt5 3
Lj- -8 3’O
Iscyin.~ost ~
(-a)’ -
/ ~o ose -tvso n~ots
S
/\(~tx2~sx.i~3)
/‘~(Lf’) (x-~4’~ (x-~)
So -fL~ -tvJo ‘fcot≤ dft
12 3-g-44~â %
22.) Graphp(x) = —3(x+ 1)(x —2)Qc —2)(x2+7)
C.) X —antecccpts —i , 2
N s ncjttkie between —! ~w4 5~nCt p(o)r _3(o.i)(o.z)(0...2~(OZ~7)<oC.) fat ? lit o~J — 3x5
23.) Grap
C.) wit. 2 2(x + 2)(x2 + 3)
C.) zL-inteccepfs —2 r(x) = —5(x — 2)(x — 2)2 (o+a)(OL÷3)C ) r&L) IS nea4live j,eNJeei, -5 (o-z)(O-2) <~
Zx3o1-ay r~&taw1 ISi-: ~2
24.) Graph ex and label its y-intercept.
25.) Graph log~(x) and label its x-intercept.
26.) Graph ex — 1 and label its y-intercept.
eX ≤L;ct€J q’Iown I..
27.) Graph log~(x + 2) and label its x-intercept.
t~~/x) 511;ct€J le1t 2
28.) Graph f: (—1,2] —÷ IR where f(x) = —2x.
R-’)- -2(’-i)-2
29.) Graph g: [—2, 1) —* R where g(x) = —x2.
5(I~Z ~l~z~i
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