Test Bank For Systems Analysis and Design 18th Edition All Chapters - 9780137947850.pdf

DOWNLOAD THE Test Bank for Precalculus Mathematics for Calculus 7th
b b b b b b b b b

Edition Stewart b
Stewart/Redlin/Watsonb-bPrecalculusb7ebChapterb2bFormbA


If fb(x)b=b(bxb−b2) +b5b,bfindb fb(2)b,b fb(a)b,bandb fb (1/ba)b.
2b
1.

2. Findbthebdomainbofbthebfunction.

2
fb(x)b=b0.5xb−
xb+b1

3. Findbthebrangebofbthebfunction.

fb(x)b =b−x2b −b2xb+b3

4. (a)bSketchbthebgraphbofbthebfunctionb fb(x)b=bx2b.
(b)bUsebpartb(a)btobgraphbthebfunctionb gb(x)b=b(bxb−1) +b1b.
2b




5. Describebhowbthebgraphbof yb= − bfb ( 2x ) b+b2b canbbebobtainedbfrombthebgraphbofb fb.

6. Sketchbthebgraphbofbthebfunction.

h(x)b=bx3b−b4x2

7. Thebgraphbofbabfunctionbhbisbgiven.

(a) Findb h(−3),bh(−2),bh(2),bandbh(4)
(b) Findbthebdomainbandbrangebofbh.
(c) Findbthebvaluesbofbxbforbwhichb h(x)b=b3
(d) Findbthebvaluesbofbxbforbwhichb h(x)bb3.




8. Abfunctionbisbgiven.bUsebabgraphingbcalculatorbtobdrawbthebgraphbofb f.b Findbthebdomainbandbrangebofb f
frombthebgraph.

fb(x)b=b x2b,b b −b3bb xbb5

9. Abfunctionbisbgiven.b(a)bFindballbtheblocalbmaximumbandbminimumbvaluesbofbthebfunctionbandbthebvalue
bofbxbatbwhichbeachboccurs. b(b) bFind bthebintervalsbonbwhichbthebfunctionbisbincreasingbandbonbwhichbtheb

functionbisbdecreasing.bStatebeachbanswerbcorrectbtobtwobdecimalbplaces.

2
G(x)b =
x b +bxb+b1
2




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,DOWNLOAD THE Test Bank for Precalculus Mathematics for Calculus 7th
b b b b b b b b b

Edition Stewart b
Stewart/Redlin/Watsonb-bPrecalculusb7ebChapterb2bFormbA


10. Evaluateb fb(−2)b,b fb(−1)b,b fb(0)b,b fb(1)b,bandb fb(5)b forbthebpiecewise-definedbfunction.

3x2 ifb xbb0
fb(x)b=b
2xb+1b ifbxbb0

11. Sketchbthebgraphbofbthebfunction.

x2 ifb xbb−3
fb (b bx)b= 
bxb+12b ifbxbb−3

12. Drawbthebgraphbofbthebfunctionbinbanbappropriatebviewingbrectangle.

fb (x)b =b1.1x3b −b8.6x2b −1.4xb+1.2

13. Forbthebfunctionb fb(x)b=b2x2b−bxb determinebthebaveragebratebofbchangebbetweenbthebvaluesb xb=b−1b andb xb=b0.

14. Forbthebfunctionb fb(t)b=b2t2b−btb determinebthebaveragebratebofbchangebbetweenbthebvaluesb tb=b2b and
tb =b2b+bhb b (b hbb0b ).


15. Usebabgraphingbdevicebtobdrawbthebgraphbofbthebfunctionb fb(x)b=b144x3b−144x2b+b36xb.bState
approximatelybthebintervalsbonbwhichbthebfunctionbisbincreasingbandbonbwhichbthebfunctionbis
bdecreasing.



16. ThebgraphbshowsbthebdepthbofbwaterbWb inbabreservoirboverbabone-
yearbperiodbasbabfunctionbofbthebnumberbofbdaysbxbsincebthebbeginningbofbthebyear.bWhatbwasbthebaverag
ebratebofbchangebofb Wb betweenbxb=b0bandbx=b100?




17. Ifbanbobjectbisbdroppedbfrombabhighbcliffborbabtallbbuilding,bthenbthebdistancebitbhasbfallenbafterbtbsecondsb
isbgivenbbybthebfunctionb fb(t)b=b16t2.b Findbitsbaveragebspeedb(averagebratebofbchange)boverbthebfollowingb
intervals:

(i) Betweenb1bsbandb6bs
(ii) Betweenb tb =bcb andb tb =bcb+bh

18. If fb(x)b=b2x2b +b1b andb g(x)b=b xb−1b,bfindb fb +bgb,b fgb ,bandbtheirbdomains.

19. Use fb(x)b=b3xb−b2b andb g(x)b=b3b+b2x2b tobevaluatebthebexpressionb (bfb ∘bg)(2)b.




mynursytest.store

,DOWNLOAD THE Test Bank for Precalculus Mathematics for Calculus 7th
b b b b b b b b b

Edition Stewart b
Stewart/Redlin/Watsonb-bPrecalculusb7ebChapterb2bFormbA


1 1
20. Given fb (x)b = andb g(x) b= ,bfindb fb ∘bgb,b gb∘bfb .
xb+b2 xb−b2

21. Determinebwhetherbthebfunctionbinbthebfigurebisbeven,bodd,borbneither.
y 1
0




5




0
-2.5 -1.25 0 1.25 2.5

x


-5




-10




22. Determinebwhetherborbnotbthebfunction fb(x)b=b x2b −b3xb+b2b isbone-to-one.

23. Usebabgraphingbcalculatorborbcomputerbtobdeterminebwhetherborbnotbthebfunction fb(x)b=b2x3b−bxb isbone-to-one.

24. Findbthebinversebofbthebfunction.

fb(x)b=bb12b xb+b1

25. Findbthebinversebofbthebfunction.

fb(bx)b = ,b 0bbxbb5




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, DOWNLOAD THE Test Bank for Precalculus Mathematics for Calculus 7th
b b b b b b b b b

Edition Stewart b
ANSWERbKEY

Stewart/Redlin/Watsonb-bPrecalculusb7ebChapterb2bFormbA


fb ( 2 ) b=b(2b−b2) +b5b=b5
2b
1.
fb (ab)b=b(ab−b2) +b5b=b9b−b4ab+ba2
2b


b1b b1 2 1−b4ab+b9a2
fb b bb=bb b −b2b +b5b=
bab   a  a2

2. Domain:b (−1,b)

3. Range:b (−,b4]

4. (a) (b)
10 10

8 8

6 6
y
y
4
4
2
2

-4 -2 0 2b b xb b 4 6
-4 -2 0 2b x 4
-2
-2
-4
-4




5. Bybshrinkingbhorizontallybbybabfactorbofb1/2,bthenbreflectingbaboutbtheb xb -
axis,bthenbshiftingb 2b unitsbup.

10



yb5



6. -4 -2 0 2b x 4


-5



-10




7. (a)b h(−3)b=b3;bh(−2)b=b1;bh(2)b=b3;bh(4)b=b3b (b)b Domainb[−3,b4],b Rangeb[−1,b4] (c)b −3,b2,b4
(d)b −3bb xb b 2

8. Domain:b [−3,5]b,bRangeb [0,b25]

9. (a)blocalbmaximumb b2.67bwhenb xbb−0.50b;bnoblocalbminimumb(b)bincreasingbonb(−,b−0.50]b;b
decreasingbonb [−0.50,b)

10. fb(−2)b=b12b,bfb(−1)b=b3b,b fb (0)b=b1b,b fb (1)b=b3b,b fb (5)b=b11




11.




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