math118 f04 test ch2-4 - re to show all necessary t be...

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Unformatted text preview: re to show all necessary t be reduced and Read the problems carefully. Be su blem is worth 5 work. Circle your answers. Fractions mus radicals must be in simplest form. Each pro points. 1) What is the domain of the function 2) y varies directly as the sq the cube root of z. is x when y is 5 a 3) Find the average rate of change of the function f(x)= ___x._ 2-x on the interval (a, a+h) 3~Ei£g§~zimw A+iwfl “WT A ” ;Z” )( ’ . W. a 1 fl _ r a, hr , f u A 4) If y=f(x) looks like Graph y=-f(x+3)+2 I - IIIIIIIIIHIIIIIII I 5) I For the Paramla Y=2X2'5X'3 I IIIIIIIIIIIIIIIIIIE . _ ‘ :IIIIIIIIIHIIIIIIII a) Find the x, y mtercepts- Ilnllllllglllllllll , Ill-IIIIIIIIIIIII b) Find the vertex. lllllllllllllllnll Gra h it .- n .- "I... c) p llllllllfllflllnllllll : ‘ ‘=-- I I I l l >\ -’I , -'~8-Io-I-L magma: Mwm wIV‘I‘IIw llllllIllmlll "II II llllllllllIillI I l I I I IIIIIIIIIISIIII I I I I I llllllllllL‘IllIIl I I . lulu-nuns!“ I , ya: Z ( $2,, IIIIIIIIIIIIIJIII— = I b) LII a»: 53 mun-unnum- w L r III-la ' ; ,V, ,1 K “ mu- - I I I5 " ZI ' 6) For the function 3r——- f (x) = $11 _4-x a) Show that it is 1-1 13) Find the inverse function. 9' r I *2 CM 2 9.1.3:. I ‘ I» “I M 7) Graph the polynomial y=x4+9x3+3x2—9x-9 = (x-l)(x+1)(x+3)(x+3) ‘, fix (“i M v..,r{ : | v| ' l ‘ ' Il ‘ ‘ III-ll I l : I IIIIIIII IIIIIIIIII ‘ ‘ |' l I l 1 I“: l l a | I . '1‘ III-IlfllllIll-lll < \ \ IIIIIWIIIIIII-I “ '* IIIflIIflllflllflllflfllflfllflllll ! I ' l, IIIII H ‘ 8) Divide” HmLx§i§333x2+x_§Jéc 2”“ yr” v 3 r, *f‘ lflmjlm K? W Z \ .3”?st V we; I g m "L31 '+ x ’3‘ n: .a»: 7. ‘ “(A “’x y\ i w W flflflflflflfl WWW W ' “T e a. ,1, g“ ,, .3 > \I‘xm “Pf 1 lg v :3 ‘3‘th r}, m ’2‘. "a 2, W ( 2x” .‘ 2x "‘4, f Hyg +£L+ x"? "{H13wxxxi-fifix3 “" LgxiK R} -q ,(qYL‘m><ev\ ., .1 g? {g} 9) Find the Zeroes of the polynomial ‘ 4” ~ ' :‘~ f(x)=x4+2x3+3x2+2x-8 3ft 1"! (gx: w 0 ‘ i ( + )4 1‘ + a EM («HM/J 3" :ngw .7 J I‘% ‘ a‘ hum—u 10) If 2-if§ is a root of f(x)= x5-4x4+8x3—6x2+15x—14 find the others (x w v 1 X 3' 4“ i t 7‘? 2(- 7H ~__/ ,’ . 1k} % § : irl‘ + 6 LT ‘ «r - H M l. ‘ 11) Graph the rational function, be sure to include asymptotes and intercepts. = §2-3x y X -3X-10 . I II I I ‘ '.IIIIIIIII!IIIIIIIIII W) I I IIIIIIIIIHIIIIIIIII I I IIIIIIInQIII-IIII E INtég I Ifllfll Ifllflfllflllflllflllnllfllll I X {K W I} I . I Illllfllllmlll VI :2- I I III-III‘IIIIIII—IIII xxx & .2) I IIIIIIIIIIHIIII‘IIII I I W v I mmIIIIIIIJIII I I' I I Ill-IIIIIIIHIIII | wil.llflllll?l$fiq_. I" ' ’ ,Iflllmiflalfll I II II I-‘PI-UI-Ia 6 9 'P I ’ IIIIIIIIIIIIIIIIII; I 12) Graph the rational function, be sure to include asymptotes and intercepts. _ 2 Y-._§_i2x:fi__ x -x2-6x " I I I ‘ III I I I III I lllllllIllIlllIl I I- llllIlIlIlllIllllllnIlIl I I q ’ lllllll'llIliflIlllllIl I I I I "Inn-m. 'I I I H M Ma marginal“ q l G . g [p In ,2 I I ‘1 ) IIIIIIIIIIIIIIIAIII I I I I I I I I ' lllllfllllflllflllIflllllll I Ilzalllllllllnllli I I I I I I I I lull-IIIIIIMIIIEIIIIIIIII I 13) Graph the function. Be sure to indicate intercepts and asymptotes, and Domain and Range. y=—2X"2 + 4 “Ang MY) ‘1, \J q V “ 14) Expand the log as much as possible 3 2 a log [Lain—Lyng 2 \d 16(z+x) + 15) 16) combine as a single log 2 + alog3(x+y) - %log3(z) - blog3(z-y) Solve for x 82x+1 _ l6x_1 x ‘A I w s/‘F’lgjk I”. U x } Lij w 8‘ in vf «« ~ {x «a 17) 18) Solve for x in terms of In 2X+1.32X = 73X‘1 >‘m ; V) x“ “a w”; w ¥3.}+ 54 fi‘3' @ fl 4% \ V 'i (w: xk/ 7, * f i w I w Solve for x ?)Yw ” 95 22x + 4 = 5.2X 'L ,Mkfii ugtfi L3 rgiJ ,fl\7 2 (J 19) Solve for x log2(x-1) + logz(x+4) = 2 + log2(x+2) 20) Solve for x x2-3X + 4 = 4-3X + x2 ...
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