Test Bank For Precalculus, 23rd Edition All Chapters - 9781119339519.pdf

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d d Bank for Precalculus Graphs and Models Right Triangle Appr
d d d d d d d d

oach 6th Edition Bittinger
d d d




CHAPTERd2 NAME

TESTdFORMdA CLASS SCORE GRADE


1. Determinedthedintervalsd ANSWERS
ondwhichdthedfunctiondis:
a) increasing, 1. a)
b) decreasing,dand
c) constant. b)

c)




2. Graphdthedfunctiond fd(dx)d=d3d–d x2d.
Estimatedthedintervalsdondwhichdth 2. Seedgraph.
edfunctiondisdincreasingdorddecreas
ing,danddestimate
anydrelativedmaximadordminima.




3. Usedadgraphingdcalculatordtodfinddthedintervalsdondwhichdthe
functiond fd(x)d=dx3d−d2x2d isdincreasingdorddecreasing,danddfinddany
3.
relativedmaximadordminima.

4. 1
Thedlengthdofdadrectangulardboarddgamedisd 2d timesdthedwidth.d If
2
thedboarddgamedisdwdcmdwide,dexpressdthedperimeterdasdadfunction 4.
ofdthedwidth.
5. Graph:
⎧ xd , ford xd<d –2,
|
fd(dx)d=d { x2d, ford –d2d≤d xd ≤d1, 5.dSeedgraph.
| – d 3x, fordxd>d1.




6.
ƒd3d ⎞d
6. FordthedfunctiondindExercised5,dfind fd(–3)d, fd | | ,dand fd(8)d.
⎩d4d⎠

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CHAPTERd2 NAME

TESTdFORMdA


ANSWERS Givendthat fd(x)d=d x2d +d2xd+d4 and g(x) d= 9d−dx ,dfinddeachdofdthe
following,difditdexists.
7. d
7. (dfd +dg)(5) 8. (dfd −dg)(8)
8. d
9. d 9. (dfg)(−7) 10. (dfd /dgd)(0)

10. d For fd(dx)d=d 2xd+d1d and g(dx)d = xd–d3 ,dfinddeachdofdthedfollowing.
11. d
11. Theddomaindofdf 12.d Theddomaindofdg
12. d
13. Theddomaindofd fd +dg 14.d Theddomaindofd fd –d g
13. d
15. Theddomaindofdfg 16.d Theddomaindof fd /dg
14. d
15. d 17. (f
d +dgd)( dx) 18. (fd –dgd)( dx)

16. d
19. ( fg )( x)
d d d 20. (fd /dgd)( dx)
17. d
Fordeachdfunction,dconstructdanddsimplifydtheddifferentdquotient.
18. d
3d
19. d 21. fd(x)d= − d xd+d5 22. fd(x)d=d6d−dx2
4
20. d
Givendthat fd(x)d=d2xd+1 d, g(x) d= xd+d3 ,dandd h(x)d=d x d −d3xd+d4d,dfind
2

21. d eachdofdthedfollowing.
22. d 23. (dfd∘dg)(−2) 24. (gd∘dh)(6)
23. d
25. (hd∘dfd)(3) 26. (dfd ∘dfd)(x)
24. d
For fd(x)d=d x2 and g(x) d=dxd−d3d:
25. d
26. d 27. Findd (dfd ∘dg)(x)d andd (gd∘dfd)(x)d.

27. d 28. Finddtheddomaindofd (dfd ∘dg)(x)d andd (gd∘dfd)(x)d.
28. d

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TESTdFORMdA


29. Find fd(x) and g(x) suchdthatd h(x)d=d(dfd ∘dg)(x)d=d(3d−dx2d)4d.
ANSWERS
30. Determinedwhetherdthedgraphdof yd=d x4d−d2x 2 d isdsymmetricdwith 29. d
respectdtodthedx-axis,dthedy-axis,danddthedorigin.
4x 30.
31. Testdwhetherdthedfunction fd(dx)d= isdeven,dodd,dordneither
xd−d2
evendnordodd.d Showdyourdwork.
31.
32. Writedandequationdfordadfunctiondthatdhasdthedshapedofd yd =d x2d,dbut
shifteddleftd5dunitsdandddownd3dunits.
32.
33. Writedandequationdfordadfunctiondthatdhasdthedshapedofd yd= x
,dbut
shifteddrightd2dunitsdanddupd1dunit.
d



34. Thedgraphdofdadfunctiond yd=d fd(x) isdshowndbelow.d Nodformula 33.
fordfdisdgiven.d Makedadgraphdof yd =d fd(−x)d.


34. Seedgraph.



35.



36.
35. Finddandequationdofdvariationdindwhichdydvariesdinverselydasdx,dand
yd=d15d whend xd=d0.5d.

36. Finddandequationdofdvariationdindwhichdydvariesddirectlydasdx,dand 37.
yd=d1.5d whend xd=d0.3d.

37. Finddandequationdofdvariationdwheredydvariesdjointlydasdxdanddzdand
inverselydasdthedsquaredofdw,dand yd=d240 when xd=d3d, zd=d5d,dand
38.
1d
wd=d .
2

38. ThedcurrentdIdindandelectricaldconductordvariesdinverselydasdthedres
istancedRdofdthedconductor.d SupposedIdisd0.2damperedwhendthedresi
stancedisd200dohms.d Finddthedcurrentdwhendthedresistancedis
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CHAPTERd2 NAME

TESTdFORMdA


ANSWERS 39. Thedgraphdofdthedfunctiondf
isdshowndtodthedright.
39. d




Whichdofdthedfollowingdrepresentsdthedgraphdof gd(x)d=d−2dfd (x)d+d3?

A. B.




C. D.
40. d




40. Ifd (–10,d10)d isdadpointdindthedgraphdofd yd=d fd(x)d,dwhatdpointddo
ƒd1d ⎞d
youdknowdisdondthedgraphdof yd=d fd xd ?
|⎩d2d |⎠

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