Разработка занятия "Показательная функция, ее график и свойства" 1 курс

[orasarertnan
Qyurcqr.rff, ee rpaQurc u cnoftcrsa.
I{enn:
o BBecrlr oupeAeneulre [oKa3arensnoft
Synrqnn;
. c(bopMynrrpoBarl e0 ocnonnrre croftcrna;
. rroKa3arb rrocrpoeHae rpaQzron Symquu
If.uan.
1. OnpegeJreHrre noKa3areJrrnoft
Qyrucqnn.
2. CnoficrBa noKa3are.nrnoft
Qyrucqnn.
3. Ifocrpoenue rpaQrrKa rroKa3are.nrnofi
eynrcqnn.
4. PemeHue rrorca3areJrbHbrx ypannenufi.
Onpelenesae. Oyurcqnr BHIia y = a', rKe a t I n a > 0 uagr-rnaercs noragarenrnofi .
Paccuorpunr (f yrr qnr.r.
y =2"; ! =3' (" t t)
It)" (rY
v=l; | ; v=l;l (o.1)
\z/ /
rrocrpolrM nx rpa(furz upovr€u cnoftcrna (fynrqufi.
Cnoicrsa
1. O6nacrrorpeAeneHvfl; xe (-o;+o)
2. Mnoxecrso sHa.reuufi (!ymquz: y e (0;+.o).
3. flpzx=0 !=1.
3rr'r csoficrBa Ha3brBtllorcr o6tquuu csoficreaMrl neKa3aremnofi (fynrqfiz r,r He3aBr,rcrr or
ocuoBaur{.f,, KaKoe ono 6onrrne I prnu rvrenrnre 1.
(r)"
Y=l;l
r,/
4. Bo3pacr
5. y<l
x>0 y>l
6. rJoo, y+@
Ta crerreHb 6onrme [oKa3areJrl noropofi
6onrlre
a<l
4. (Dymqna y6unaroqar
5. npu x<0 y.il
x>0 y<t
6. x-+@, y+0
.
Ta creneHb 6olsme, rroKanareJrb roropoft
MEHbIIIE
llpe.uroNenue: npoqecrb ceoficrna (fynrqzft no rpa(prary.
I,Icnonrsyx ceoftcrsa $ynrqzu npeAnaraercr pemr,rrb rrpr,rMepbr
a) Cpaannrr crenenr,r c I
! =3'

Ycroeile Orserrr
5,260'38
r,4u'to
0,J20
0,3t'to
7 r 1-{,78
l;)
>1
<l
-1
<1
>1
flpz pemenuu yrr,rrbrBaercs ocHoBaHlre (raxoe oHo 6oJlbme I ulu Melrbme 1) n snart
IOKA3ATEJIfl CTEIIEHII.
6) Cpannur; roKa3arenr.I crerleHv eclruI:
Ycnonr,re: Orserrr:
0,4^ <0,4" m> n
2,7^ <2,7' m <n
5,2^ >5,2" m>n
( +\* ( +\"
l.-l >l-l m<n
\e/ \e/
/<\- /{\'
tJ I tJ I
l-l <l-l m<n
\2) \2) ,
flpz peurenur,r o6parrlaercfl BHr{MaHrre Ha ocHoBaHr,Ie (raroe ono 6onsme I unrn rvrenrme l) u
frrrrbrBaercs 6-oe ceofi crso rloKa3areJlbnofi (f ynrqnu
KonrpolrHlre Borrpocbr:
1. Oupe4enenue noKuBarenrnofi ipynrqula.
2. O6nacrr orpeAeJreHllr noKa3arenrnofi $ynrr1"".
3. O6nacrr gna.reHrft
Oyrr
qIafi.
4. B raronr cnlqae $ynrcqzr nospacraet?
5. B rarcorrr cryqae (fynnqur y6rrnaer?
[ouamnee 3a4aHrre
1) Koncnerr
2) Pemurr ypaBHeHrrr:
t) 625', :5
G)'='' [':-+)
6; u(*-r)("-+) -
1
fi'
:o
2)
/o\
t;l