Quiz 2 - 3(2 points Graph the function by translating the...

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Prc."1."t* January 22,2010 L. Brubaker All work must be shown to receive credit. l. (3 points) This function is not onerto-one. (a) Determine a domain restriction that preseryes all range values, then state this domain and range. (b) Find the inverse function and state its domain and range. [-/t vonnv'fo f(x)=3(x-3)2 +6 2. (3 points) Find the inverse of each function, then prove (by composition) that your inverse function is correct. State the implied domain and range as you begin, and use these to state the domain and range of the Jiv*tr n 7 rLl ,N)l -_ vL(, *,\ z 'z'I l-" Ly-{ ",2 \ -\)^ +5'3 lr' "' +t \ .' ,r-.; 'f t/,*) a ,1 ,, ,']E I : fT?-- ----'':'; ^r V [ (t\ " /'r> y'. +:2 '- #- z a aJ Y (r'' '\- 6 b; x,4 LV,*) k., \_ *r.e \ . , 1
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Unformatted text preview: 3. (2 points) Graph the function by translating the basic function y = b", sketching'and naming the asymptote, and plotting three points. Clearly state the basic function and what shifts are applied, y ' il -' , t ot''f nQ ^Lt' fL:$ u? L v^ilS P,a) { l('t''"1 (j,4 1 Lz,z1 (L' I t v"/l+t Z 1. tryrr.tf azu h,a. (o,r)+ (2, z\ + T + { ( r,j\ e (r, (2,4) ) (4, {',w:(' (0,) 1) lo) f= K nu* 7^y lt z' L o(itr"r) jlo- lz x+5 e :-2 e-' (, LG* l^r{ (6x-'')+-t D Lan uGu-'o -. ,-''" G;-to '- r'+{ x -.lrb -/ +lo 4. (2 points) Solve G" o)' C/,< /., f.d- fio. . r ?.3-4\> 715 \z )--e '/'L-"o-- 4 -\ o, -/ ao-v It *' Gd L' = a-, Y = 3"-2 +1 ,4 C,orracfr \e-\<, J -.-'. / >/ _--_--_=-_:-_r- -l-su.,t €=3 t '= 5 -J------\...
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