1VIATH 1050-003 PRAcTIcE TEST 3 NovEIBlR, 5, 2012

Note that this Practice Test is longer than the Test. 3 will I e.Tins way you have extra problems to hell) you practice, so (loll’t let thelength scare you.Try not to use your notes while you work on these problems.

LLN0_CALCULATORS

You nnght find the following formulas helpful. The same formulas will be given to von onthe actual test. Make sure you know how to use them!

0 ) •, )

2a 1o,

—b ± b2 — 1cc012

2a

so );o

i ii I uso—oo:3 Pra1 iv Tvst 3 2 of 18

1. (2 11 s) (True/False) 7.r + 13,r4 3T3 7T2 + 2.i — 1 has 8 roots.

e of po c ,? .

r

wr

rAnswcr: r- i

L________2. (2 pIs) (True/False) 3.i: — 5 lias 1 root.

I_iL/lear Q)/1ov-t/j tlk1’J5

e

Answer: 1r-

3. (2 pts) What is the s1O1)e of p(.i) = i3a + 2?

[Answer:/

D( )Iit.

1\JatliiO5O-003 Practice Test; 34. (2 pts) What is the slope of p(x) iri; + 97?

Page 3 of 1

Lnswer:5. (3 pts) Graph p(x) = 3x

sl- - - - . - — - - -

— - - - - - - - - - -

- - -

- -I - — - - - .. -

----------,-----

--—-—-----,

: ::::: :: ::

I

6. (3 pts) Graph p(x) i + 3

5l rcef

——

-I

———— I -4

—— — — — —

:::::::::::::::

Cont.

Page 4 of 18I\Intli I 050—003 PimI iee 1et 3

7. (2 p1 ) What i I lie y liii ereepl of p(r) = 5.i: + i09Y?

1

8. (2 pI) What i the x intercept of p(i;) =

SX’+I0oc) --Q

cxc —1000

X —200

[swer:1000

5i; + 1000’?

Answer: oQJ

()nt.

\ In Iii 1050—003 Practice Test 3 Page 5 of 18For 1w iwxt 7 qnest bus coiisider p(.r) = 5:c — 15r + 10

12. (3 pts) \Vliat’s its (liscrirninant?

tit VL1t ZZS —Zoo z2S

13. (2 PIs) how iiiany ruot (locs it liavc?

Answer: as

[Answer: a

9. (3 pIs) Ciiiphte tin’ square

—S Io z-’c

);: ()t÷c

-is

z’s_

-

1o(-is-j

Lj

10. (3 pts) \Vliat.s the vcrtex of thc corresponding parabola?

Answer:

LkY—

‘I--3--

11. (2 pts) Is thc parabola opcning up or (lowul?

Answer: ( 3L --‘_____________

Answer:

Cont.

Md ii iO.EiU—6U3 PiI k’ Txl 3 Page 6 of 18

14. (4 pt.) \VIiit i1e it ruots?

-

___

102. tii)

[vel JL

15. (5 pts) Use the previous 6 questions to graph j)(d) labeling its vortex and any .r nd y

illtcrceI)ts. o

0L7i J7

zs

Coiit.

Page 7 of 18

— c-I)s——— =-----z

IL

18. (2 pts) Is the PtrIi;)Ola opvllmg U or clown?

Answer: / j_. I

L_L11

____

19. (3 pts) Wlint its (liserimnmIlt ?

20. (2 pts) how niav roots (lees ii have?

Answer:

LArr 2

l\ lt1 1 1050—003 Practice Test 31or the iwxt 7 questions coHsicler p(:r) = :i + 5

16. (3 pts) ()Hqilete the square

ft9 cS / — Si•1

— I

17. (3 pts) What’s the vertex of the corresponding ptrahoht?

t

J gkC ()9(-)5

Answer: --

Cent.

_(—i)±Ji

z (_Lj)

,_i 6&(’j9

rwer: I22. (5 pt) Ue the previous 6 to graph p(;i;) labeling its vortex and any i and y mtureoI)ts.

1eep F:

Math 11)50-003 Prwtieo Test 3 Page 8 of 18

21. (4 pts) What u’o its roots?

(( )Ilt.

I

-c1-4

--

>< N

t

L/N

0 ( Th 4-.

)

I’

V

1’ c

cJ’J

0

%—

N 0

c-/

v

cj1

0

\.1

+I Hii %

.1

0C

00

C) C) -& C,

c-A

)

.‘

(J.

C) N -c C) + L ii iI 0

-c

+t

Li’

J

4

0o

0

00

0jI3rJ(\JD

-L)

C’]

+L’

-C

’]

S

“70

(40(3

‘C

I-,

N

00D

+i—7

IL-I1->c

it

0V—‘10II

N”

1L

rJ

—

0

ii

c)

S

4?

1\Lit Ii 1050—003 Piactiec Test 3 Page 11 of 1825. (4 pts) Ciapli — (;r — 1)(i — 2)(:r — 2)(u — 3)( + + 5) making sire to show all the

x intercepts niid 1)i’llflViOi on the far right and left.

+

p(z.) —(2.s-—1)(2.-z)(

+ +

*

((zc)2-

±

Ct

f\Iatli IOaO—UU1 Pratiuu Tst 3 Pig’ 12 of 18

26. (‘ p1) Giapli 13;i;(:i; + 1) (.i: — 2) (:i + 2) (:i: 3) (2;i:2 + 3i: + 3) making sure to show all

the x illteiCel)tH all(l 1 )eIlaVioI (ill the far iiglit an(l left.

-fr

9.-

sj t -- t

Let

p (1Mrn 4(-isi) ()-2)(jca)

4--- - ± —

H-

=/—

Gout.

Math 1050—003 Pr1({jce TeSt 3 Ptie 13 of 1827. (3 pts) If (I is a real Ilflillll)eU, (10

() 0

(h)j1

c) (1

(d) oc

28. (3 pts) if (1 is a real iiuillil)Cr, (f1 =

(a) 0

(b) 1

(c) ci

() oc

29. (3 pts) Hi

-8 9 CJ73

(f) —12

(g) Not I)efiiied

C()flt.

Math 1050-003 Praet ie Te1 3 Page 14 of 18

30. (3 pts) If 8c = then a; =

(a) 2

(1)) -2 / 3 —z

(c) j 2(ci)

(e) —

3X2(g)

2

(i) Not Defiuiecl

31. (3 pts) If a is a real llUhIITh(1,

log(J(1)

(b) 1

(c) a

(d)

(e) Not Define(1

32. (3 pts)1O42(’1) =

(a) 0

(\i

(d)

(e) 16

Cant.

Maui 1050-003

____

PimI ie Tei 3 Page 15 of 1$33. (3 j)t)

11o(—) —

(a) 0

(1)) 1

(c) 2

((,/_2

34. (5 pts) Solve for r:

= 125

Io( ) Io iz

-3

3

Coiit.

C.9

—

N

01+

J

zN

Io

‘

_

I

_

Lt

rLI

II

II

Math 1050—003 P1Ii(( Tvxt 3 Pagc 17 of 1837. (10 pts) Giapli 1(r), iiiikiig iIU(’ to hiow VERTICAL ASYMPTOTES. X INTER

CEPTS, mid BEHAVIOR. AT FAR RIGHT AND FAR LEFT.

/7 .

— 2(; — 3) (:i: + 1)

r(.r + 3)

ü(-I _ç( —c+)

_

-1-

tevi:

—2. (—14-3)

1- if

a(g-3 )( 1+ )—

Coiit.

I\IHth 1050—003 Praetice Test 3 Pgt’ iuf1

38. (10 pts) Graph f(z;), making sure to show VERTICAL ASYMPTOTES, X INTER

CEPTS, iiid BEHAVIOR AT FAR RIGHT AND FAR LEFT

Z1-Z+) (L)(-z-jp(—c)= _iz

..± _i_±

-±+t

-‘ —--,±±= —

iecJ(’

Cjorr’-j/

-5(.i - 3)(i’ + 1)(u -2) 7 if wIll= xr + 3)2_5

)

(-2-3)j-2) )(-a-2) —

A