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**Unformatted text preview: **re to show all necessary
t be reduced and Read the problems carefully. Be su
blem is worth 5 work. Circle your answers. Fractions mus
radicals must be in simplest form. Each pro points. 1) What is the domain of the function 2) y varies directly as the sq the cube root of z.
is x when y is 5 a 3) Find the average rate of change of the function f(x)= ___x._
2-x on the interval (a, a+h) 3~Ei£g§~zimw A+iwﬂ “WT A ” ;Z” )( ’
. W. a 1 ﬂ _ r a, hr , f u A 4) If y=f(x) looks like Graph y=-f(x+3)+2 I - IIIIIIIIIHIIIIIII I
5) I For the Paramla Y=2X2'5X'3 I IIIIIIIIIIIIIIIIIIE
. _ ‘ :IIIIIIIIIHIIIIIIII
a) Find the x, y mtercepts- Ilnllllllglllllllll
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b) LII a»: 53 mun-unnum-
w L r III-la ' ; ,V, ,1 K “ mu- - I I
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ZI
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6) For the function 3r——-
f (x) = $11
_4-x
a) Show that it is 1-1
13) Find the inverse function. 9' r I *2 CM 2 9.1.3:. I ‘ I» “I M 7) Graph the polynomial y=x4+9x3+3x2—9x-9 = (x-l)(x+1)(x+3)(x+3) ‘, ﬁx (“i
M v..,r{ : | v| ' l ‘ ' Il
‘ ‘ III-ll I
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‘ ‘ |' l I l 1 I“: l
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< \ \ IIIIIWIIIIIII-I
“ '* IIIﬂIIﬂllﬂllﬂllﬂﬂlﬂﬂlﬂllll !
I ' l, IIIII H ‘
8) Divide” HmLx§i§333x2+x_§Jéc 2”“
yr” v 3 r, *f‘ lﬂmjlm
K? W Z \ .3”?st V we;
I g m "L31 '+ x ’3‘ n: .a»: 7. ‘
“(A “’x y\ i w
W ﬂﬂﬂﬂﬂﬂﬂ WWW W ' “T e a. ,1, g“ ,, .3 > \I‘xm “Pf 1 lg v :3 ‘3‘th r}, m ’2‘. "a 2,
W ( 2x” .‘ 2x "‘4, f Hyg +£L+ x"? "{H13wxxxi-ﬁﬁx3
“" LgxiK R} -q
,(qYL‘m><ev\
., .1 g? {g} 9) Find the Zeroes of the polynomial ‘ 4” ~ ' :‘~
f(x)=x4+2x3+3x2+2x-8 3ft 1"! (gx: w 0 ‘ i ( + )4 1‘ + a EM («HM/J
3" :ngw .7 J I‘% ‘ a‘
hum—u 10) If 2-if§ is a root of f(x)= x5-4x4+8x3—6x2+15x—14
find the others
(x w v 1
X 3' 4“ i t 7‘? 2(- 7H
~__/ ,’ . 1k} % §
: irl‘
+ 6 LT
‘ «r - H M l. ‘ 11) Graph the rational function, be sure to include
asymptotes and intercepts. = §2-3x
y X -3X-10 . I II I I ‘
'.IIIIIIIII!IIIIIIIIII
W) I I IIIIIIIIIHIIIIIIIII I I IIIIIIInQIII-IIII
E INtég I Iﬂlﬂl Iﬂlﬂﬂlﬂllﬂllﬂllnllﬂlll I
X {K W I} I . I Illllﬂlllmlll
VI :2- I I III-III‘IIIIIII—IIII xxx & .2) I IIIIIIIIIIHIIII‘IIII I I
W v I mmIIIIIIIJIII I
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wil.llﬂllll?l$ﬁq_. I"
' ’ ,Iﬂllmiﬂalﬂl I II II
I-‘PI-UI-Ia 6 9 'P I
’ IIIIIIIIIIIIIIIIII; I 12) Graph the rational function, be sure to include
asymptotes and intercepts. _ 2
Y-._§_i2x:ﬁ__
x -x2-6x " I I I ‘ III I I I III I
lllllllIllIlllIl I I-
llllIlIlIlllIllllllnIlIl I I
q ’ lllllll'llIliﬂIlllllIl I I I I "Inn-m. 'I I I H M Ma marginal“ q l G . g [p In ,2 I I ‘1 ) IIIIIIIIIIIIIIIAIII I I I I I I I I ' lllllﬂlllﬂllﬂllIﬂllllll I Ilzalllllllllnllli I I I I I I I I lull-IIIIIIMIIIEIIIIIIIII I 13) Graph the function. Be sure to indicate intercepts and
asymptotes, and Domain and Range. y=—2X"2 + 4
“Ang MY) ‘1, \J q V “ 14) Expand the log as much as possible 3 2 a
log [Lain—Lyng
2 \d 16(z+x) + 15) 16) combine as a single log 2 + alog3(x+y) - %log3(z) - blog3(z-y) Solve for x 82x+1 _ l6x_1
x ‘A I w
s/‘F’lgjk I”. U x }
Lij w 8‘
in vf «« ~ {x «a 17) 18) Solve for x in terms of In 2X+1.32X = 73X‘1 >‘m ; V) x“ “a w”; w
¥3.}+ 54 ﬁ‘3' @ ﬂ 4% \ V
'i (w:
xk/ 7, * f i w
I w Solve for x
?)Yw ” 95 22x + 4 = 5.2X 'L ,Mkﬁi ugtﬁ L3 rgiJ ,ﬂ\7 2 (J 19) Solve for x log2(x-1) + logz(x+4) = 2 + log2(x+2) 20) Solve for x x2-3X + 4 = 4-3X + x2 ...

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- Winter '00
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- Math