Republic of the Philippines Department of Education Region VIII Division of Calbayog City CALBAYOG CITY NATIONAL HIGH SCHOOL
Calbayog City
MIDTERM EXMI!TI"! EXMI!TI"! In
#E!ER$ MT%EMTIC&
Name: _______________________ Grade:___ Section:_______ Date:_________ Score:______ Rating:____ % Test Test I. MULTIPLE CHICE. Se!ect t"e corres#onding !etter o$ o&r 'est ans(er. Pro)ide so!&tions. *. + r&!e t"at re!ates )a!&es $rom a set o$ )a!&es ,ca!!ed t"e domain- to a second set o$ )a!&es ,ca!!ed t"e range-. a. Re!ation '. &nction c. Corre!ation d. none o$ t"ese /. + re!ation ("ere eac" e!ement in t"e domain is re!ated to on! one )a!&e in t"e range ' some r&!e. a. Re!ation '. &nction c. Co$&nction d. none o$ t"ese 0. + gra#" re#resents a $&nction i$ and on! i$ eac" )ertica! !ine ____t"e gra#" at most once. a. intersects '. '#ass c. to&c"es d. none o$ t"ese 1. T"e _____ o$ a re!ation is t"e set o$ a!! #ossi'!e )a!&es t"at t"e )aria'!e 2 can ta3e. a. range '. )a!&e c. domain d. none o$ t"ese 4. T"e s&m o$ *50 and /54 is _____. a. *45** '. **54
c. /5*4
d. none o$ t"ese
6. T"e #rod&ct o$ *75/* and *458 is _____. a. 0945*68 '. *685094
c. /65/
d. none o$ t"ese
. +n e2#ression t"at can 'e descri'ed as a $&nction ("e re eit"er t"e n&merator or denominator "a)e a )aria'!e on it. a. rationa! e2#ression '. in)erse e2#ression c. a!ge'raic e2#ression d. none o$ t"ese 8. T"e _____ o$ a $&nction are t"e )a!&es o$ 2 ("ic" ma3e t"e $&nction ;ero. a. asm#tote '. interce#t c. ;eroes none o$ t"ese 9. T"e gra#" o$ t"e in)erse o$ a one t"e res&!t is a _______. a. re!ation '. $&nction c. corre!ation d. none o$ t"ese **. I$ t"e 2< and <)a!&es o$ a $&nction t"at is n ot one t"e res&!t is _______ . a. Re!ation '. no !onger a $&nction c. $&nction d. none o$ t"ese */.Some o$ t"e a##!ications in rea! ,0- interest> ,1- car'on dating and ,4- gro(t" o$ an e#idemic. a. n! *>/>0 and 1 are tr&e '. n! *>0 and 4 are tr&e c. +!! are rea! !i$e a##!ication d. None o$ t"ese are tr&e *0. ne strateg to so!)e e2#onentia! e2#onen tia! $&nctions is to (rite 'ot" sides o$ t"e e?&ation as # o(ers o$ ____. a. di$$erent 'ase '. t"e same 'ase c. t"e same #o(er d. none o$ t"ese *1. ne o$ t"e #ro#ert o$ e2#onentia! $&nctions is t"at t"e range is t"e set ______. a. ,7>@
∞
-
'. ,7><
∞
-
c. ,@
∞,0
-
d. none o$ t"ese
*
*4. ____ o$ t"e !ogarit"mic and e2#onentia! $orms> ' is t"e 'ase. a. n! in e2#onentia! '. n! in !ogarit"mic c. In 'ot" *6. Logarit"ms (it" 'ase e are ca!!ed ______. a. common !ogarit"ms '. nat&ra! !ogarit"ms
*. ne o$ t"e )a!&e $or ) o$ t"e $o!!o(ing e2#ression a. /5*4
c. common and nat&ra! !ogarit"m
d. none o$ t"ese
5 5 4 + = v v + 10 3 is:
'.
c. <*45/
d. *45/
c. <*
d. <*>
x − 2 *8. T"e interce#ts o$ $,2-= x + 2 are : a. />*
'. /><*
*9. Aind a!! 2 )a!&es ("ic" do not ma3e t"e denominator 7B> t"is is a r&!e to $ind t"e: a.
d. domain
/7. Aind t"e )a!&es o$ 2 ("ere t"e n&merator is ;ero '&t t"e denominator is non<;eroB> is a r&!e to $ind t"e: a. t"is is a r&!e to $ind t"e: a. "ori;onta! asm#tote '. )ertica! asm#tote c. range d. domain //. Gi)en: $,2-= √ x −3 > ("at is t"e )a!&e o$ $,2<0-
√ x
a.
'.
√ x + 6
c.
√ x −6
d.
√ x +3
1 /0. Gi)en: $,2-= √ x −3 > ("at is t"e )a!&e o$ $, 1 − x - 3 x −2 − 1− x
a.
'.
2 x −3 x −1
−2 x −1
3 x
c.
d.
3 x −2 1 − x 2 3 1 − = /1. So!)e $or 2: x 2 x 5 . a. 45/ /4.
4
2 x +7
'. /54 2 x −3
≤ 32
d. /.4
c. /956>@
d. 65/9>
c. e2#onentia! e?&a!it
d. none o$ t"ese
c.
d. 1
c. e2#onentia!
d. neit"er o$ t"ese
. So!)e $or 2 ,so!&tion set-.
a. 65/9>@ /6. T"e $&nction $,2- =
'. /956>< 3
2 x isanexampleof :
a. e2#onentia! $&nction '. e2#onentia! e?&ation /. T"e !ogarit"mic e2#ression a. / /8. T"e $&nction> $,2-=a x a. !inear
c. 4./
log0.25 16 is e?&a! to:
'. 2
+
bx + c > ("ere a '. ?&adratic
≠ 0 is:
/
≠ 0 is:
/9. T"e $&nction> $,2-=a2@'> ("ere a a. !inear
'. ?&adratic
c. e2#onentia!
d. neit"er o$ t"ese
'. ?&adratic
c. e2#onentia!
d. neit"er o$ t"ese
0*. T"e $&nction> $,2- = #,2-5?,2- is: a. #o!nomia! '. ?&adratic
c. e2#onentia!
d. neit"er o$ t"ese
c. e2#onentia!
d. neit"er o$ t"ese
x −c
b
07. T"e $&nction> $,2- = aF a. !inear
0/. T"e $&nction> $,2- =
an x
a. #o!nomia!
c
=
c. com#o&nd interest
d. #iece<(ise
c. com#o&nd interest
d. #iece<(ise
c. com#o&nd interest
d. #iece<(ise
c. com#o&nd interest
d. #iece<(ise
a is ca!!ed: '. e2#onentia!
ln b a =c is ca!!ed: '. e2#onentia!
Theform , log b a =c is ca!!ed: a. !ogarit"mic
0. T"e $orm>
$,2-=
'. e2#onentia! 8 8@*.4d
a. !ogarit"mic 08.
@ a0 is:
'. e2#onentia!
a. !ogarit"mic 06.
x
1
t
a. !ogarit"mic 04. T"e $orm>
+ … …+a
'. ?&adratic
a. !ogarit"mic
e
d is:
(1 + r ) is ca!!ed:
00. T"e $orm> + = P
01. T"e $orm>
n
+
'. e2#onentia! t T
Thismodel , y = y 0 ( 2 ) a. !ogarit"mic
i$ 7KdK1 is an e2am#!e o$: i$ d1 c. com#o&nd interest
d. #iece<(ise
c. com#o&nd interest
d. #iece<(ise
is ca!!ed: '. e2#onentia!
09. T"e ;eroes o$ a $&nction are t"e )a!&es o$ 2 ("ic" ma3e t"e $&nction ;ero. a. tr&e '. $a!se c. it de#ends
d. eit"er o$ t"ese
17. + gra#" is not a $&nction i$ and on! i$ eac" "ori;onta! !ine intersects t"e gra#" at most once. a. tr&e '. $a!se c. it de#ends d. eit"er o$ t"ese
Test III. PRLEM SLING. So!)e t"e $o!!o(ing #ro'!ems &sing t"e r&!e o$ o#erations. 1*<11. o& ta3e o&t a P"P /7>777 !oan at a 4% interest rate. I$ t"e interest is com#o&nded ann&a!!> ,a- gi)e an e2#onentia! mode! $or t"e sit&ation> and ,'- "o( m&c" (i!! o& o(e a$ter *7 ears 14<18. S&##ose o&r 'aranga starts (it" *777 indi)id&a!s and tri#!es e)er 87 ears. ,a- Gi)e an e2#onentia! mode! $or t"e sit&ation. ,'- J"at is t"e si;e o$ t"e #o#&!ation a$ter *77 ears 19<47. Gra#" t"e $o!!o(ing $&nction and its in)erse. &nction Points: ( - 2 , - 4 ), ( 0 , 1 ), ( 2 , 6 )
0
1
