propretati generale ale functiilor

4
Y6+^ \x* E[oepj{,nt,' a€N€lAt€ te Fr,rpc. ircre i €or^rN cna$lrr\<- \ f q " {, LtR o $m'he L"." .t'..',9-\nt^*o "&'i- * c^ aqn*\ J" n".r-'.. "' j" { "c^a13..^i\a (:: G) So.r G \ n+, 1 1 e R d r /rr\ -24ft) z i l nrruren'c5 . '--J't-tt t\tj " f .rr.k i^d.^" i n\c-* ot' "1 €?l . l t-pi*)\ l-r ' ,^\t mat "t " t ^k.u aQ (v)+eA <"r @*e\ +oF) -,t@ ) +"f -*;.*fl* *:Ktl. u T 3,\ r-^o5, As.i lCz) 1',1,4-5'\rft sc,r. o-L4tK) z- 5 @) *'= ^ -'r f ''a3;*'ti r ) {:R- >R , j:l* l-,*@) +.R:r {*.i-i S h'u'r c a -l # - 4 r\--Rr )t" a " n .'*t 'I t'r'^rk'"l { "" ;.o. - *<x ($nt N -r\":po 6\ t r ) . Gg Pe v'h'r'" o . d' .of, g,.r5 <lc.o {t- * ) - \..'e ''"- 4C-n) - - & 6,..ra pV *'1ok' 6[ -t) G + jT"'- '"o\t st'^tl' c ' t-\. A oto'7 o) 4 , e+Rg ,4r*i--?,*o1 "'0" {r-*)-- l*;l = _ _ .+ _ - {(4) = , {,"f-^ . _fd*/  l+lxl r ) f , e-, ,J(a)= 2-x nJ, n,,J*l;;"1tl{;'i.,*

Upload: andrashik

Post on 07-Jan-2016

272 views

Category:

Documents


1 download

DESCRIPTION

Teorie proprietati generale ale functiilor pentru liceu si pentru bacalaureat

TRANSCRIPT

7/17/2019 Propretati Generale Ale Functiilor

http://slidepdf.com/reader/full/propretati-generale-ale-functiilor 1/4

\x*

E[oepj{,nt,'

a€N€lAt€

te

Fr,rpc.

ircre

i €or^rN

cna$lrr\<-

\ f

q"

{ ,

LtR

o

$m'he

L"."

.t'..',9-\nt^*o

"&'i-

*

c^

aqn*\

J"

n".r-'..

"' j"

{

"c^a13..^i\a

(::

G)

So.r

G \

n+,

11

eR

dr

/rr\

-24ft)

z

il

nrruren'c5

.

'--J't-tt

t\tj

"

f

.rr.k

i^d.^"

i

n\c-*

ot'

"1

€?l

.l

t-pi*)\

l-r

'

,^\t

mat

"t"

t

^k.u

aQ

(v )+eA

<"r

@*e\

+oF)

- , t @

)

+"f-*;.*fl**:Ktl. uT1

3 , \

r - ^ o 5 ,

A s . i

lCz )

1 ' , 1 ,4 -5 ' \ r f t

sc,r.

o-L4tK)

z-

5

@)

*'=

^

-'r

f

''a3;*'ti

r )

{ :R-

>R

,

j : l *

l - , *@)

+.R:r

{* . i - i

Sh'u'r

ca

-l

#

- 4

r \ - - R r ) t "

a

"n

.'*t 'I

t'r'^rk'"l

{

""

; . o .

-

* < x

( $ n t

N

-r\":po

6\

t

r

)

.

Gg

Pe

v'h'r'"

o

. d' .of,

g,.r5

<lc.o {t-

*)

-

tin

\..'e

''"-

4C-n)

--

&

6,..ra

pV

*'1ok'

6[

- t )

G+

jT"'-

'"o\t

st'^tl'

c

'

t-\.

A

oto'7

o)

4, e+Rg ,4r*i--?,*o1

"'0"

{r-*)--

l*;l

=

_ _

. +

_ -

{ ( 4 )

= ,

{ , " f - ^

.

_ f d * /

 

l + l x l

r)

f

,

e-,

a

,J(a)=

2-x

nJ,

n,,J*l;;"1tl{;' i.,*

7/17/2019 Propretati Generale Ale Functiilor

http://slidepdf.com/reader/full/propretati-generale-ale-functiilor 2/4

.

\*:Sb

1_11

$.

":u J"

s'v

.''\'ie

g[

e-f

l{il:l*-:l

(*)

"}

_1r{.'-"

5i.".\d-

--'n

a4

{*\.

Au

d*.q.l.

, O

' n .

r \ \

c l n

.

f.^mo\uV -

ILqt"),l

i-n

t(

.1q#

F"'\ru",9

(1

Cx" /v \ i l u

i

- ' - -

, 0 . _

4

.

? , r " \ ,

peno&

cr

. ^ l f

' n ' ) ^ "^ l . '& i -o

JocE

(=1

. te t r

o

(+ . )

,

I

,

\ 7_ - , . O .

N \ , r i oo

 

'T

"^.\

v

n"\

t

lo

I

:

v

cit

^^ur

irvN

c

'

t"T

'

\'-

, A.'

l.h$'\A

cjYlolo.

lr \)

  \ - a r ? I l

J

o

J$-

b"I

n

a +

" A

rr,t- | /

f(",r)<n"'kOr4,

c\qrDcd

lso

<-e-

//'

/clu

cr,-r,ci

kos

+.- \

-)

ilz,

J..-^*V-.*,*;l

@)

^t 1Yz '=>

4. 'n '

* \ t ' " [

t *

{tr

@;x"r

.

Qrl...t-

*

&*r*o

'\

s

k(o15

l)

-

e"

t,o.o&*

\t

z

{

t-

\ - s" .rlc €ar)^a+r",1

*JTl""

q

T

sdq

el

'iu

J.

:$".\J-

^

Oct\yo{\

c}-t

O

e<e"n1..\

:

-

-

' .u,

'

,'t

'k'tr

-+t"x')

{

rr(

\ro

-lor\

.

(=

_t

X t - X l

7/17/2019 Propretati Generale Ale Functiilor

http://slidepdf.com/reader/full/propretati-generale-ale-functiilor 3/4

("[4.44 4

lX--)

&j

4

, 0-

-'

R, ,,&

{-'*+

f =-

)-'4

X4'r)

=

+(,l€-)

ts)

eR

Gt.{+u.l

,-^"

4-.+ f"""

* t"&t,.

"n-

x1*

c'r'r-a'xrc(

E,.-.1"

{^^-JF

t"^I-

:

+" )

-- ri ''

4*l

-- 3e"''

; f'e)

= a'$x5'

U

d,fi,-:rR

rate.

1--+

l+l4'

)ac;

F.")=-fi*),(f)'r

*"P"*

u^n

'4'"'.+

t^"i1l-,'e'da

e",.&\i-

rX

h'f't"''-

e^rq.i^.cd.-

^'nt

l.,--e,].

)e'

calanab-

tt"rJ

+, *

ry.-''-

,

f 't)--r

IT.*;--

n^*'

,f<*)-xa^x'

;.,r<c0,

e

'*'.t;;

A ",lt lc &*t,,ll

5;66.

{.'1r""6i;

T

tlf

.

{ , + - A

f

:

E'>h

{ '

+ o n

r)

g..F

o-q*dB-

La- (6

t )

*4 ' i t -e+ ' ' k ' t+V->T<ot>

Y<

,",{e

J^J{n'd

2-1

(v):c.r,r"e}"r

{<*il

--f<a)

-)

*q

--

x-2

q+-g-lgi4.t

/ad

C+)'trrhe*

,

*, *r(

tt*,l={-ct)

a. b or,t n .- '., -o'tt , ^*'-n @

1,"*

l

oft*t

a4u

k

a"-

B

att'

7"

c

IcA.

L{r..

('^-k)l

a;

-il'P;rr-o

zr'l'e&ua

<=>

et)7

e;]

6)'xe-4

a?

l<t-)=;

T.*g)=

:

(9a

Yt

.*9

0.f

{,

+

-tO

{{E

;'€#,ri

dad

& ' n -

4 { 6

* }

^"

1'ut*

&+l"l^'*

"jr^ak

)

p- [ f.-$

,],ru

I

alu.c.

J.4L

'1**

" r---n

rytL o' l,'t ..l

\eaz,^;.

7/17/2019 Propretati Generale Ale Functiilor

http://slidepdf.com/reader/full/propretati-generale-ale-functiilor 4/4

@

N'.-.0+..-{-

rfult_

u

**,

0"a

,t o.r.o

'^

@

-e. -

" n ' 6

) e c . " * 9 - € ^ .

4A ,ru,fe

9l

)

6

6ull

zr.

"-Il" .,.l',.^f4>

a+'.-ri , 4..f+4q-

)L

t-

k .Q-

A

t*t

f

,'^]?Fl

U

qt-\

.,

v

6-h

_d

A-&s

J-c-

.----Y=x-'1

, * , t - w '

7 I { .

x - + c -

, (Z-"4r,*,3(#'>)

G:"

du4qrq,

T

4n..

->*-

;

L*@)=r

$)

-e#

^-".'furfu-::b e-

o*;"r;

o"*{r--

*

f,

.t*'*r.aa"-l"t'ti

<=>

{-a.y"nv;

3

.

Se

rJ-'*f"i

**,r-,-

t.

eC)

*fe

"t"

4"

;rrte

a'-

*t'ntli

'

,,c--I-.fi't.i

.

f-4,

o'a

*

(,*'-k;

y