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Test_1_Key - Home A{U Tj E VREX‘EJEfi-E fiend and follow...

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Unformatted text preview: Home A {U Tj E VREX‘EJEfi-E; fiend and follow all instructions. Try to answer every question; remember. a Iteration].r right answer 15 better than no answer. i. Complete the following definitions: 1. The domain ofe fimetion is. .. .. Me; or} 0105, H x - wines. in filnetionfljrjis evenif.... ‘ unit!) 31 3 _ Hr) : lat—x”) or? sweeten gnome 3. The period of a sinusoidal function is l he. Ll —.;§?Jr"i 3. “rut Shredded Junie. Wml 4-0 Lowlere acted? 4. A function flit) is continuous at a point X. = e if -. .. - {You may use either the epsilon—delta definition or the limit def": nition.) - VEPGHEMSJE. lei—eh? ‘3? HQ“: -¥Ce)leg at m1 rm ex .54 5., .i _. grim : 4‘ tr“). ll. Write the heeie formula for eeeh of the following types ol‘fiiuetione: |. linear 2. exponential 3. sinusoidal 4. power :5. rational ? -E’J‘e ormwb tJ-tfid“ tJL-A9.n(‘de5 Ly)“: $51130 Eyeif Ill. Solve the following equations. Either leave yourenewers exact or round to three places peel the deeinnel. Simplify as mueh no possible, but note that there may he more .7 than one way to write your mew. Eat: ln{l t2} = Infl) —- In{2) = I] :- ln{2} = —ln(2] l. lflfl=25l§ie1 2. my ={4(1§.)a 3. Sfl'fl __ 42”: i ' — liw _ Lei EELE ' TZLt’lfg/S‘) K' in {”th “('th )9” '. ' N - 9H9 N -— 132 7 Ln eowgfl'fl F I H - - ##3an , . .. .'. ' . .‘ . e5 .iLHf IV. Fmd the followrng lll'l'lltS. If the limit does not most, 'WI'llL DH In. 1 lim ft } 2 11111 ft ) . . x . x I—>14+ if; x—}on ____ #0 "In 6x’-:r+5 3. —— :— x—Mo 2—3171 ‘9' V. The intermediate Value 'I heoeem 1. State the Intermediate Value Theorem C1 If] ’fgrpgf fr? IQ] I9 '96:} i5:- Cam}.nuuw5 or. a (JOSE and k i"; 191“; {(3)4VL5) 4hr} JI'LGFE 13 SDW‘iQ‘ Ci” 59.53 533. ffcfi‘ak. 2 Use the Intermediate 1It‘aJoe Theorem to show f{.r) = oos(x] "x1 has a zero in [I12]. an {’0' i“; LOP"? Iii-fluent”; {Rt—1 (LI. 527 +{L>. ML} _ I )L‘} 'fral): {USES-Ex?“ ill-{0 ___:H_: LII-j”. HIT JLCID 31'] fl it’d: V1. Use the graph offlx) to sketch a graph of each of“ the following: 1- ni't’x + 3} 3- ft-IJ- 5 “a i I sol l. 1iHI. 1|Write a possible fimction for each of the following graphs: I. 2. _ 3. 55-“ 1' 9 = JD mitt-1 ) VIII. Word thlcms l. A mpflfly a cost, C is a function of the number of items produced. q, so i. =f{q}. a] Interpret f (5) 23. . int (o?! in PIOCJHCE {LENS #9 $5366 11'} Interpret f (4E}=lt}. a a; _ Ft:- 'i 3| CC] ..»4‘ Uk— {1er I'D. J'é’e’b’tfi: riff—£7 FIDO/L. ICE?§;'( c) Use the points from parts a and l:- to mite a linear Function tor the total cost as a fitneetiem of 'lhuB nut-ulnar “fie-r1115 pro-dut- era-l. C q 5 : (I, "I‘ 2. A radioactive isotope decays by 20% in fifteen years. What is its half-life? L} $3.599 {get-3V5 V . The LiteIJ-uedime Value Theorem 1. State the Intermediate Value Theorem. 2 Use the Intermediate 1It'aIuJe Theerern te show that f (1')" e” —1 has a zero in [fine]. £5!) 1‘3 (Eflt'l t1HULtS, of? EU“ TI]. mfgf’n“) Ian-w ”“1" E—tm m) e' Jz—ILL‘: Statue 3:15]? Luff—.L Se. {.15).- 0 VI Us: the graph of x} ton :Letch a graph efeaeh {If the feltuwing. l ft’x- 3} P left’vx} : r—— 1'It’II. Write a peeaihle function for each of the following graphs: 4fin-n) 7% VIII. Word Problems J I. The number of bottles of paste eaten by kindergartenete, P, is a fimction of the number efdaya since school started, LL so P =_f'(ti). a} Imflpaeiff?l 1% C‘I {W -“ “£111 kttfiflfi’flyfqfltr liftmffirq 6113“? 6.13%“ l EXH'E h}Interpretf" (1m— 5 __ _ fitting eaten a mar/g: .5;th w m c] Ilse the points from parts a and h to write a linear fimction For the bottles of paste eaten as a fiinction of the number of days since school started. H t * Ea. - 2. A radiomive isotope decays by Eflflxfi in twenty years. What is its half-life? g 5;). I52. é; 1:36am Name Iteacl and follow all instructions. Try to answer every question; remember. a partiallyr right answer is better than no answer. I. Complete the following definitions: 1.".[he domain of'o function is 2.1%. functionflx) is odd if.... 3. The period of a sinusoidal ftmctlon is 4.31 t'ttnctionfl'lglI is continuous at a point e if .. .. {You mayr use either the epsilon-delta definition or the limit definition} II. Write the basic formula for each of the following types of functions; I. sinusoidal 2. power 3. rational 4. linear 5. exponential III. Solve the following equations. Either leave your answers exact or round to three places past the decimal. Simplify as much as possible, but note that there may be more than one waji,r to write your answer. Ex: ln(Ir’2] = Infl} — Int?) = l} — Infl) = 411(2) t. lflfl=2cm 2. aflflf =I.4e’ s. lfltlr-rrc' x : as so «a 2-: in (£7L‘f_)_ a: so We) ":5 -i 085; N it’llfii'g/lrw‘j 1: fifiqb ' - . we IV. Flind the following limits. If this. limit does not exist, write IIHH. ' m1 l'x—lln]4+flx) (l g'x—urflxiflf Iit‘l‘l x1 -l 'x—r—I x+l ._. Q 3 'v“. Th: Intcrmcdtatc Vanna 111mm 1. State the Intel-mediate Valua Theorem. 2. Us: the Intermediate Value Theorem to show that fljx) =1 — am" has a Item in [13,11]. fit“; a: Cowlm “at“: m [9.173 m3): tam“. I—e if.) fan) -— tram” fat: an at m .3 LE font-1) 3i. gotta} = D VI. Use the graph affix) to sketch a graph nfaaah at“ the ihllawi Lffx + 3; 2.fr~x) - 3 VII. Write a passihla fimction for each ofthe fallawing graphs: tJ :: '92th Dig/'4') VIII. Ward Prablama I. A Netti} hiil, B, is a function of the number of minutes used, I, so It -f{t}. R ‘uj — 3:3,: it]; a} Intmpmtftsflfi) = as- _ flu; bi” gar SOD MtflL-dizg :3. £65 in} Interpret f] (40) = 250. c) Use the points From parts a. and ta ta write a linear function for the bill as a function of the number afminutaa used. .- -~t ,5: _1-&—t at; 16 2. A radioactive isotope decays by 20% in thirtyr years. What is ila haIiLIIfa‘? 9:, 193‘? agar? Read afifollow all insane—none. Try to answer every question; remember, a partially right answer is better than no answer. I. Complete the following definitions: I. The range of a fiinetion is 2. A function fix) is odd it" . 3. The period of a sinusoidal function is 4. A fiinelionflx) is continuous at a point e if [You mayr use either the epsilon-delta definition or the limit definition.) H. Write the basie fiormula tor eaeh of the following types ol'funetions: l. rational 2. power 3. exponential 4. linear 5. sinusoidal III. Solve the folio-Whig equations. Either leave your answers exact or round to three plaees past the decimal. Simplify as much as possible, but note that there may he more than one way to write your answer. Ex: int] f2) = lnfl} — 1n(2)=i}—}n{2}-: -ln{2} I. 2 = 23‘ 2. 1eH = 4 s. 10(5): : 3(4)‘ Xl‘tti :——h—'_‘i‘i ‘ f fiffe’) ' i it"! KL." "H ' '1 e was 2:: --=:-::m W. Find the following limits. Ifthe limit does not exist. write DNE. ' Jim 1- hm .ftx} 2. fix] x—H 'v'. ‘i'la: Intermediate Value theorem 1. State the Intermediate Value 'I‘heorem. 2 Use the Intermediate Value Theorem to Show fix): oosx— —2x haeazero 111 [ll 1]. Qty-1} 15, com I. r'f’ILAoLae can I}; II tap)- teem-Lj-Ie—e C(l-tcsI-Qrb 5;; I333 Ir'l 3 e 11' Icin— It: 3- U VI. Use the graph of fix) to sketch a graph of each of the following: I-fr-xl+l new; VII. 1|I’v’rito a possible fisnction for each of“ the following graphs: 1. 2. we. Word Prohlenis LI I. KJEJ‘KI‘F"$YK_ ”11) I. The total profit, P, of a garage eale is a function of the number of items sold, t1, so P 21“}- a} Interpretffefl} = m L? LID Hams ere sold, hmerégl }e Filo. 1:} Interpret r 3o1=12a 1' W ptoyll 3g $30,, I510;'fohsuor€ Solcl. e] Use the points from parts a and h to “Tito a linear fimotinn for the profit as a function of the number of items sold. 1:) I 3." If]; 2. A radioactive Isotope decays by 23% In thirty-five years. What is its half-life? [0% at} 62(23th Home Read and fhllow all Emotions. Try to answer every question; remember. a partially right answer is better than no answer. 1. Complete the following definitions: l. The range ofa function is 1A funetionfi’x) is even if.... 3. The amplitude of a sinusoidal Function is 4. A fimetionfi’x) is eontinuous at a point e if .. .. {You may use either the epsilon-delta definition or the limit definition.) ll. Write the hasie fonnuia for each of the following types of functions: 1. power 2. rational 3. linear 4. exponential 5. sinusoidal III. Solve the following equations. Either leave your answers exaet or round to three places past the decimal. Simplify as much as possible, but note that there may be more than one way to write your answer. Ex: lrufl f2} : In{i} — mm) = t} — ln{2) = — lnffl} t. s=sser 2. ltli3)‘ =2.5[s}* s. 5‘” =34 ELF X f [In 5:3 «f e .3ng? "it, : § 1:: SJ. :5 *33’31 a ram s: tip-€333 W. Find the following limits. lfthe limit does not exist, write DNE. 1‘ x 1—1;“qu [Ii 2' rim—sfix) W E r | l x w} t} sin(2x) J..- :1 lim .1: ll. Name AN iv” E Ufi “331:3: 115?. T7 (“is Read and follow all instructions. Tr};r to answer ever}.r question; rcmornher, a partiallyr right answer is hetter than no answer. 1. Complete the following definitions: I.Tlterangeofafimtrtionis.... slit; {£4 Dru?” PC'FESr—iflifl VclIrLléf’fi c.- {S MAS. deewndo H 'l' U Ett‘ t e? is; i at 2. A thnetionflx) is odd if" . . . I . 10ml -. _ it.) a» sin-Mm— stxul a. s 3. The amplitude of a sinusoidal function is .. .. . z) . . I lift it? J-l-‘LQ‘ Ci ifiv'ic‘itsfff tan-I J lit»; W} r rs .m u. 1W1 +4: “(,3 flqfiy, Jr's-mm I 4. A fiusctienffoI is continuous at a point e if {You magir use either the epsilon-delta definition or the limit definition} II. ertfi the basic formula for each of the Following types of functions: 1. rational 2. linear ."l. exponential 4. sinusoidal 5. power ill. Solve the following equations. Either leave your answers exact or round to three places past the decimal. Simplifyr as much as possible, but note that there may he more than one waft.r to write your answer. Ex: In{l i 2} = ln(l) — 111(2) = 0- lot?) L —ln[2) 1. 5n = as“ 2. 20m‘ =L4t5r 3' 53"“ = 4f r ‘ ‘2' _ L'fl la. 23' K: brig/5) F1: Eli All) 7‘5” (1:75— +Ll _§ w . LH 52'le _ _ c' £59}.le e; Eric} :3; 02.6; W. Find the following limits. if the limit does not exist, write DNE. lint lim 1. 2. x scold—fix} 1 x—r—oefl: 3" ll — I 3 lim x—l H \ xma-coz x ...
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