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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Scanned by CamScanner M ax # o f t u rn in g p o in ts \4 i ( i n clu d in g m u lti p lic it y) L m \ ' ( w \ \ ) \ ı 1 a . y - ( x - 3 )( 2 x + 3 ) ( x + 5 ) A LL ro ots : X = 3 X · X = e " o m ia [ . , ç d e g re e , le a d in g c o e ffic ie n t , a n d y - i n te rc e p t . U se th is in fo rm a tio n to sketch a g ra p h o f th P ol y nom ia l Fu n ctio n s . Fi nd each p ol y nom ia l ' s ro o ts , in c l udin g each roo ť s m u lti p lic it y . Fi nd th e 3 . E nd beha vior M í n im um ( s ) ? M a x im um ( s ) ? Inte 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 an g e? D om ain? 2 . Ą 3 asx+co Ą } ð c a lo a s X - c o abs . M i n : ( - 2 , ° ) l ocal m in : b 2 , o ) abs . M a x : H . . L l ocal m a x : n c Ċ - T / 0 1 ( - " , o o ) E nd b e h av io r M i ni m um ( s ) ? M axi m um ( 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 om ain? D a te N am e U n it 6 T e s t R eview A ccel . Al g . II

Transcript of A Alg II N U D - WeeblyScanned by CamScanner M ax # of tu rn ing p oints \ 4 i (including m u...

Page 1: A Alg II N U D - WeeblyScanned by CamScanner M ax # of tu rn ing p oints \ 4 i (including m u ltiplicity) Lm \' (w \ \) \ ı1a. y-(x-3)(2x + 3 )(x + r5 A L ots: X = 3 X · X=e "o m

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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

Page 2: A Alg II N U D - WeeblyScanned by CamScanner M ax # of tu rn ing p oints \ 4 i (including m u ltiplicity) Lm \' (w \ \) \ ı1a. y-(x-3)(2x + 3 )(x + r5 A L ots: X = 3 X · X=e "o m

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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

Page 3: A Alg II N U D - WeeblyScanned by CamScanner M ax # of tu rn ing p oints \ 4 i (including m u ltiplicity) Lm \' (w \ \) \ ı1a. y-(x-3)(2x + 3 )(x + r5 A L ots: X = 3 X · X=e "o m

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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 .

Page 4: A Alg II N U D - WeeblyScanned by CamScanner M ax # of tu rn ing p oints \ 4 i (including m u ltiplicity) Lm \' (w \ \) \ ı1a. y-(x-3)(2x + 3 )(x + r5 A L ots: X = 3 X · X=e "o m

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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