Test Bank For College Algebra - 13th - 2023 All Chapters - 9780357723654.pdf

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39


CHAPTERh2,hFORMhAh NAME
COLLEGEhALGEBRA
h DATE

1. MatchhthehsethdescribedhinhColumnhIhwithhthehcorrecthinterval 1.h a.h
notationhfromhColumnhII.hChoiceshinhColumnhIIhmayhbehused
once,hmorehthanhonce,horhnothathall. b.h

I II c.h

a. Domainhof fh (x)h = xh−h3 A. (−,h) d. h


b. Rangehof fh(x)h = x −h3 B. 3, )
h


c. Domainhof fh (hx)h=h x2h −h16 C. 0, 2
h e. h


d. Rangehofhyh=h2x2 D. 0, )
h


e. Domainhof fh(x)h = 3
h xh−h2 E. −3, 3h f. h


f. Rangehof fh(x)h = 3h x
+h2 F. (−, −2 h


g. Domainhof fh(x)h=h xh+h2 G. −3, )
h g. h


h. Rangehof fh(x)h=h xh +h3 H. −7, )
h


i. Domainhof yh=h2s2 h.h
j.h Rangehof fh (hx)h=h x2h −h7
i.h

j.h

Thehgraphhshowshthehlinehthathpasseshthroughhthehpointsh(h−h5,h −h3)han
dh(h−h1,h4).hReferhtohithtohanswerhExercisesh2–6.




2. Whathishthehslopehofhthehline? 2.

3. Whathishthehdistancehbetweenhthehtwohpointshshown? 3.

4. Whatharehthehcoordinateshofhthehmidpointhofhthehsegment 4.
joininghthehtwohpoints?

5. Findhthehstandardhformhofhthehequationhofhthehline. 5.

6. Writehthehlinearhfunctionhdefinedhby fh(x)h=h axh+hbh that 6.
hashthishlinehashitshgraph.



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,DOWNLOAD THE Test Bank for College Algebra 13th Edition Lial
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40


CHAPTERh2,hFORMhA

Tellhwhetherheachhgraphhishthathofhahfunction.hGivehthehdomainhandhthehrange.hIfhithishahfunction,hgivehthehintervalshwher
ehithishincreasing,hdecreasing,horhconstant.

7. 7.




8. 8.




h3h 4h
9. SupposehpointhPhhashcoordinatesh ,h .
h 
 5h 7h

a. WhathishthehequationhofhthehverticalhlinehthroughhP? 9.h a.h
b. WhathishthehequationhofhthehhorizontalhlinehthroughhP? b.h


10. Findhthehslope-
intercepthformhofhthehequationhofhthehlinehpassinghthroughh(2,h5)h
and
a. parallelhtohthehgraphhof yh =h 4xh−h7; 10.h a.h

b. perpendicularhtohthehgraphhof yh =h 4xh−h7. b.h



Graphheachhrelation.

11. xh=h 2h yh−h3h +h1 11.




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41


CHAPTERh2,hFORMhA

12. fh (hx)h=h x + h 2 12.




2xh−1 ifh xhh0
13. fh (hx)h=h 13.
−3x h−1h h ifh xhh 0




1
14. Explainhhowhthehgraphhof yh =h −h xh+h3 +h5h canhbehobtained 14.h
2
fromhthehgraphhof yh= xh.

15. Determineh whetherhthehgraphhofh 2x2h +h3y2h =h1h ish symmetric 15.h a.h
withhrespecthto b.h

a. thehx-axis, c.h

b. thehy-axis,

c. thehorigin.

Given fh (hx)h=h x2h −1h andh gh(hx)h=h2xh+1,h findheachhofhthehfollowing.hSimplifyhthehexpressionshwhenhpossible.

16. ( fg ) ( x)
h h hh 16.

17. ( f + g ) ( x)
hh h h hh 17.

g
18. thehdomainhofh 18.
f



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, DOWNLOAD THE Test Bank for College Algebra 13th Edition Lial
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42


CHAPTERh2,hFORMhA


f ( x + h)h−hfh(hx)h
h h h h h
19. 19.
h

20.h ( f − g )(1)
h h h h h 20.

h fh h
21. h  (2) 21.
h gh

22.h (hfh∘hgh)h(hx) 22.

23.h (hfh ∘hgh)h(−2) 23.

24.h (hgh∘hfh)h(hx) 24.

25.h (hgh∘hfh)h(−2) 25.




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