LAMP : A Framework for L arge-scale A ddressing of M uddy P oints
A Alg II N U D - WeeblyScanned by CamScanner M ax # of tu rn ing p oints \ 4 i (including m u...
Transcript of A Alg II N U D - WeeblyScanned by CamScanner M ax # of tu rn ing p oints \ 4 i (including m u...
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M a x # o f tu rn in g p o in ts
\ 4 i
(in c lu d in g m u ltip lic ity ) Lm \ ' (w \ \ ) \ ı1
a . y - (x - 3 ) (2 x + 3 ) (x + 5 ) A L L ro o ts : X = 3 X · X =
e " o m ia [.
, ç
d e g re e , le a d ing
c o e f f ic ie n t , a n d y
- in te rc e p t . U s e th is in fo rm a tio n to s k e tc h a g ra p h o f th
P o ly n o m ia l F u n c tio n s . F in d e a c h p o ly n o m ia l'
s r o o t s,
i n c lu d in g e a c h ro o ť s m u ltip lic ity . Fin d th e3 .
E n d b e h a v io r
M ín im u m (s )?
M a x im u m (s )?
In te rv a l (s ) o f d e c re a s e ?
In te rv a l (s ) o f in c re a s e ?
R a n g e ?
D o m a in ?2 .
Ą 3 a s x + c o
Ą}ð 구 c a lo
a s X-
c o
a b s . M in : (- 2 ,
° )
lo c a l m in : b 2 , o )
a b s . M a x : H . . L
lo c a l m a x : n c
Ċ - T
/ 0 1
(- "
,
o o )
E n d b e h a v io r
M in im u m (s )?
M a x im u m (s )?
In te rv a l (s ) o f d e c re a s e ?
In te rv a l (s ) o f in c re a s e ?
R a n g e ?
D o m a in ?
D a te
N a m eU n it 6 T e s t R e v ie w
A c c e l. A lg . II
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b . W rite in fa c to re d fo rm ,
"
i1 ıo O
( K r S X K + 2 _ ) = O仁兰;芸鸾 }(z
1二ひ 中 (o - o
a . F in d a ll ro o ts ( re a l / n o n -
r e a l). D o n'
t fo rg e t to u s e th e g iv e n ¡n fo rm a tio n !
4 . (x - 4 ) is a fa c to r o f f o =
x3
+ 3×2 _ 18 x - 4 0 ,
M a x # o f tu rn in g p o in ts
-5 5
y in te rc e p t (+ o r - ) : O
Le a d in g C o e ff . (+ o r - ) : P o W
D e g re e (# ) :八
(in c lu d in g m u ltip lic ity ) 12 ) ( M l ) 2 )c . y - x
2
(x - 4 ) (X + 3 A LL ro o ts : k o_ x y )
-
M a x # o f tu rn in g p o in ts : ð
y in te rc e p t (+ o r - ) :
回Le a d in g C o e ff , (+ o r - m
D e g re e (# ) :
(in c lu d in g m u ltip llc ity ' qn? ) ( M \) n nA LL ro o ts : æ 2 m
-
V . k- F
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ニ 土 I,士 lz ı
士Z
,
士孙
ı土 己
,
į
爿士
a . Lis t a l【 p o s s ib le ra tio n a l ro o ts .
4t,
ţ t,
t Z
, ( Q , 3
,
į L (
G iv e n th e p o ïy n o m ia l H =
) - 8×
3 + 1 8 ×
2 _ 5 x - 126 .
4
,
c . S ke tc h a g ra p h o f g .
- 3 - 3 0
- Ų - % W \
b . Fin d a ll ro o ts o f g
a . W rite d in fa c to re d fo rm .
5 . x= 5 is a ro o t o f d
= ) - 4×3 _ 8×
2 + 1 2 x + 1 5 .
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矿ćx コ。- 3 (X - ユて. 닉 乂之北 一 1)
- 5 =
- 2 c4 = 8 æ
8 . W rite a p o ly n o m ia l fu n c tio n th a t h a s a y- in te rc e p t o f - 24 a n d th e fo llo w in g z e ro s : 2 ,
- 4 , 1f z
- x (x Ļ 5 )Ĺ K z
+ 4 )
th e re is a 4th
z e ro n o t ıis te d .)
7 . W rite a p o ly n o m ia ï fu n c tio n th a t h a s a le a d in g c o e fFic ie n t o f 1 a n d th e fo llo w in g z e ro s : - 5 , 0 , 2 i (H in t