math118 f02 test1b - cal Poly State University ‘ M118 w...

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Unformatted text preview: cal Poly State University ‘ M118 . . ' ' w Precalculus - , Fall 2002 Name; _ , . g. _ TEST #1 (3) ' #1-3 (10 points) I a) IsthefollowingfiglmeagmphofafuncfionNExplain) 4 III III III: W‘?‘ "‘3 W W95 E! iiiéa: “W *F Hfl'flfl IS 1 fincfiw bECaUSZ M === It!ll=:==l [INC 0M3 0335951 X «cdwz 1+ 63“)“ =:: r:i;::=llllil III lull-Illi III lull-III; (9 - ma *4 ' ,=::=: __, ‘ b) IfF(x)=:x -2x 4 find nun .F<-2>=t2>3 2(--2) «— 48> >® F(X+1)= x4433 4 x+4|)— 4-: x+lx+|)(XH) 2X" 1 4 3F(2ft;1+74"L4—22(: 44X’Fl4 ' = ’ X 1’3x +34“; @ '4 -’ — — = I c) T112?(2)?)fafu21'gtfcjtzisglvgn.F1111;3(8);Ax .4) \ 24X’6 ”DJ 3 ® f(~l)=i -3 © 4 fig increasing onvinmausx‘éifl'plg-F- I G) =l-EEEEEEEEEEEE ; III-Illllllluul :IIIIIIIIIIIII2--_ g Ill-I'llllllulll ‘IIIIIHBIIIIQIIII. gIIIIIMIElInIIIEU :Illllllllnlllllrf IIIIIIDIZIIIIIII: III-IIIII-IIIII‘ :IIIIIIIIIIIIIIIE Oiff(x)=3,thenx= «3 <9 x=b \ © fisdecreasingonintervaks); '5 ."- . 0) WWW Rangeis I ’5,fl§ ® ' #4 (Spoims) Supposeflwat z is invetsely proportionalto y,andthatz-12 when y=16. Wfiteanequafion flutexptesseszinwrmsofy ‘9 K m —_t<;. K—H’L ‘9' #5.(10 points) The graph of f(x) is given. Draw the graph of the following functions: III-Iluullllllll » ' ‘ 1 III-IIIIIIIIIIII . 'b)y= , f —x .31, , (f IIIIIIIIIIIIEEHQ' ' 2 IIIl-l-II-ullllna III-lllllalllull IIIIIIIIIIIIIIII Ill-II-Ia-IIlI-I IIIIIIIIIIIIIIII ; IIIIIIEUIIIIIIIIw IIIIIIIIIIIIIIIZ , III-al-IIIIIIII- III-llllll-llzze Ill-IIIEIIIIIIIE; Ill-llllllllafiza .IIIIIIIIIIIIIIII I'll-Illlflkfitall e .IIIIIIIIIIIIIIII. Illfiotfiuzczallll ‘(:> - 'IIIIIIIIIIIIIIII alawusaeaa-IIIII ; Ill-IIIIIIIIIIII Illlllhtllllllll ; IIIIIIIIIIIIIIII .IIIIIIIIIIIIIIII . flfiflfliiiflflfl flflflfifliflfli - .IIIIIIIIIIIIIIII IlllllllIIIlllll > IIIIIIIIIIIIIIII III-IIIIn-llllll #6 (10 points) Find the average rate of change of the function between the given points: 21)f(x)=x2 +3x x=0, x=2 ’ ' . 196% o"+3(0)‘ C(55) “'chalo/O ; 1% E 1. I I -D my: 2 +11)‘Il0(zlm) 1 <5? b)g(X)= 16:11 #2, X: . HG+k+L> x — = W - w - w 3&5: 1H = g =l Z R W C 7—_ I a '1- 217‘ ? Q [) h | = h | - z, 3Ck> 1 “4;? ‘ (“I Hi") ‘ :1" k1_k_ 2 ' i. L" “h r. {Wk/4). if”: #7'(5 POinté)yl\E".Xl;l-VELS making-Ewe function 3): —;L+15xh:1’7;n s fom.I»\ > . m h: £3): 6 9" ”CW8? H00 . H83 1&3} Hui-9) -4 _ @ %)1’L04+\1%—4:L00 K:b0 > #8 (10 points) Suppose the graph of f is 'ven. Describe how the of the followin functions can be obtained from the graph of f. g: graphs 3 ‘ a) was: fit (wk a ”35% W REM-7 was MM H4 amp,“ doA/N Q. uni (DA HM»? 700$ .A @ :: “23:00 ' I ‘ ‘I ‘ 1’) 5mw.‘m fiQapk zfiiwsgdiaufi amLme 19W 1“ 9MP“ MAM X "ZNB- #9 (10 points) Determine Whether function is even, odd, or neither. a) , _ , b) f(x)= x3 - x’ H = -><>°’ ' 60;" F XEK’Tfl: — (x16)?- z—M 6-), _ #10 (5 points) Sketch the gmphofthefunction: _[ '—1 ifxsZ f(x)- x-‘l if2,<xs4 1 x+2 ifx>4 GD : # 1 1 ( 5 points) Find the maximum value of the function g(x)=l — x- x’ “mg“.Lo‘LM.wM-M @091“: (x "’1". M—m’wm \Ja\uu ’2 5 =-\< P . ”23$ 5 " 4 _ 1 ‘ @7 (36% :6) , (4» +1 ’2': ”a" H = iz'k #12 (5 points) If f(x):x2 - 3x+ 2 and g(x) - 4 ---3x 4 . 2 find (f-gXx) and its domain. I 133% +1..»(4_ 3x) Z X1 fl' ’2' ‘ bmbuN OF @—3)(X) = EX 6TB} #13 ( 5 points) The pmflt P (in dollars) generated by selling x pens is given by formula: P(x)=- 500 +200x- 0. 04x2. How many pens must be sold to receive the maximum mam—m W)" ‘ 0 W +100! +999. PC2900) Ofagoo) + mime) 4:00 7461500 =k ‘4: &- =1goo I 2(— o 04) 3 ~ (53 —/ What 1s the maximum pmfit? gé‘ [9:51 2. OD DON‘Z‘W DDMzu'N fx/x > o} {x/x 9e 4; #1400 points) If f(x)=J§ and g(x) .. ,find: ' a)f°g. Ham) -; x—4 ~ x-4» F‘an = m ‘ ,gbwz/uw {‘3 [LXI/b4} ’ , VVXMn x>4 : DoMaiM= 5%]ng #15 (10 points) If F(x)= 2x-4 and GOO: llx Find: 6 _ '1 . (G/F)(x)= a ,x) - 7 _ L , .1... J.“— _ ’ x - .1, 204 2x4 2x 496 ® . Domain of (G/F)(x): DW‘NW We} A EA Ame/xiii} DOWNQM‘i {y/x¢o§= B ...
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