k k k k k k k k k k k
lski
Dugopolski'skPrecalculuskFunctionskandkGraphs 13
Chapterk2kTestk--kFormkA Name:k
Determinekwhetherkeachkequationkdefineskykaskakfunctionkofkx.
1. x — k3yk =k2 2. xk=ky2k —k2yk +k1
1. 2.
Statekthekdomainkandkrangekofkeachkrelation.
3. yk =k|2xk—k3| 4. xk=kÈyk+k1
3. domain:k 4. domain:
range: range:
Sketchkthekgraphkofkeachkfunction.
5. x + k2yk =k Œ 6. yk =kÈ x— k1
7. yk =k —k(xk—k1)2k — 2k 8. ƒk (x)k= (x + k1,k ƒor k xk <k 2
2 — kx,k ƒor kxk≥k2
Letkƒk(x)k=kx2k +kxkandkg(x)k=k2xk+k1.k Findkandksimplifykeachkofkthekfollowingkexpressions.
g(x+h)—
9. ƒk(4) 10. g—1(x) 11. (ƒk ◦kg)(2) 12.
g(x)kh
9.k 10.k 11.k 12.k
Copyri on.kInc.
mynursytest.store
,DOWNLOAD THE Test Bank for Precalculus Functions and Graphs 4th Edition Dugopo
k k k k k k k k k k k
lski
14 Formk2A
Solvekeachkproblem.
13. Statekthekintervalskonkwhichkƒ(x)k=k(xk+k3)2k—k1kiskincreasing.
13.k
14. Discussktheksymmetrykofkthekgraphkofkthekfunctionkƒ(x)k =k x3k —kx.
14.k
15. Statektheksolutionksetktokthekinequality (xk—k1)2k >k1kusingkintervalknotation.
15.k
16. Pete'skPrintkShopkchargesk$60kforkprintingk300kbusinesskcardskandk$80kforkprintingk50
0kbusinesskcards.k Whatkiskthekaveragekratekofkchangekofkthekcostkofkprintingkasktheknu
mberkofkcardskgoeskfromk300ktok500?
16.k
17. Thekareakofkakrectanglekisk30ksquarekfeet.k Writekthekperimeterkofkthiskrectanglekaskakf
unctionkofktheklengthkofkonekofkitsksides,kx.
17.k
18. ThekgradekonkWalker'skmathktestkvarieskdirectlykwithktheknumberkofkhourskhekspendskstud
yingkforkthektest.k Ifkhekstudieskonlyk2khours,khekmakeskak62.k Whatkwillkhiskscorekbekifkheks
tudieskfork3khours?
18.k
Copyri on.kInc.
mynursytest.store
,DOWNLOAD THE Test Bank for Precalculus Functions and Graphs 4th Edition Dugopo
k k k k k k k k k k k
lski
Dugopolski'skPrecalculuskFunctionskandkGraphs 15
Chapterk2kTestk--kFormkB Name:k
Determinekwhetherkeachkequationkdefineskykaskakfunctionkofkx.
1. 2xk—kŒyk=k3 2. xk =k |kyk|
1. 2.
Statekthekdomainkandkrangekofkeachkrelation.
3. yk =k |k2xk| + 1 k 4. xk=k y2k — 1k
3. domain:k 4. domain:
range: range:
Sketc hkthekgraphkofkeachkfunction.
k5. 3xk—kyk =k 3 6. yk =k Èxk +k2
7. ƒk (x)k= ( 1 — kx,k ƒor kxk<k1 8. yk=k(xk+k2)2k+k1
2xk+k1,k ƒor kxk≥k1
Letkƒk(x)k =k Èxk+k5kandkg(x)k =k 5xk+k1.kFindkandksimplifykeachkofkthekfollowing.
g(x+h)—g(x)
9. ƒk(4) 10. g—1(x) 11. (ƒk ◦kg)(2) 12. h
9.k 10.k 11.k 12.k
Copyri on.kInc.
mynursytest.store
, DOWNLOAD THE Test Bank for Precalculus Functions and Graphs 4th Edition Dugopo
k k k k k k k k k k k
lski
16 Formk2B
Solvekeachkproblem.
13. Statek thekintervalsk onkwhichk ƒ(x)k =k (xk—k1)2k +k2k isk increasing.
13.k
14. Discussktheksymmetrykofkthekgraphkofkthekfunctionkƒ(x)k =k x3k —kx2.
14.k
15. Statektheksolutionksetktokthekinequality (xk+k 1)2k <k 1k usingk intervalk notation.
15.k
16. Pete'skPrintkShopkchargesk$50kforkprintingk500kbusinesskcardskandk$90kforkprintingk100
0kbusinesskcards.k Whatkiskthekaveragekratekofkchangekofkthekcostkofkprintingkasktheknum
berkofkcardskgoeskfromk500ktok1000?
16.k
17. Thekperimeterkofkakrectanglekisk10ksquarekfeet.k Writekthekareakofkthiskrectanglekaskakf
unctionkofktheklengthkofkonekofkitsksides,kx.
17.k
18. ThekgradekonkWalker'skmathktestkvarieskdirectlykwithktheknumberkofkhourskhekspendskstud
yingkforkthektest.k Ifkhekstudieskonlyk2khours,khekmakeskak50.k Whatkwillkhiskscorekbekifkheks
tudieskfork3khours?
18.k
Copyri on.kInc.
mynursytest.store