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3.1 - 3.1 Exponential Functions H.5finifij5m 515’ this...

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Unformatted text preview: 3.1 Exponential Functions H.5finifij5m 515’ this 55555555515555555 Th5 55351155551551 5555555 5“ ”5555513555555 5555555155155] 53:5 fix} fl???“ er 5” L“ $35 5:51 555 55 i5 5 5355555555 5555155555 5515155 555555 5 {55 :5» {5- 5555 55 55 :1.).._5_.5515 55 5555 5555 551551555“.- ' ' Graphing exponential functions 13155555555555.7555 52:13 Wyn-555155551 Emmtiflnmf 5555 5755555 fix} E 5-5 :15 Th5: diam-55in {If f-Cx} fi {5" 55551555555 (51f3511- mfifl fi'flaflffifli: («—m m :1 Tha I‘flflgfi of £5? = 5" 555553555 555* 515 pas-i555 1555!; 51155155555: {{L, {:55} 13; T55 graphs {if .553. 55;;5115555555 5551-5555515. @555 135555 . f {,5} ”—5 55*"35555 5135555551 555 1555511; {411, 1.} 15555555 fig} 5- 5‘35 51:55 (5).}.Thaw-5555551555555 15 “$5 5le 5'1 "315- 5 fix} 5-“ if“ 5555 :5" 5555355 55555" r5555 5551515555 5:555:15. 55555 55: 5:15 555555555555 Mnn-ctfifafi: T135 55555555" 51555 55551555 515323, 55315 55553315551555 55555555 4. 51": I} 5:2: 5:- 51: '5, fix} w 55‘” 51-55 551555511 15151; 5555 555555 L5 555 right 5555 i5 5 {55555553515 51555551551, T555 55555551555” the: 555155 5555555515, 5555555555 55::- 5 . __ 555555; I . _ - fix: z 32““ £5 fix} “4 53:33:55 75555-555555 51555155155551: ‘3 “5’ "T ‘ 1515-5555 55151: is; '5. {11155555215 '65 "F515: gmph 555‘. flx) = 335“ 5555555555155 1515: 53555 51555 11551555355155 5—5555, T155 5555555; 5:55 5: =55 {3:5 55 5155555515555 . . _ - 5551555555555 - I l ' .' ' Hwimm‘fi 555m5t-5’r5: 3‘ = {5 (H5) :HQQX ’fmnsl’urmalfinm Vmficxal 1W gut/[upf— Ealicflwimuml twinfilfliiicfin ‘ Ru [fiatclicm Vania-3E, SEW-taking {31* st; rén king; i r Hmimmal mmichirag 43.3% g shrinking. é ! i neammmn Shail‘ls; Efim gram; {if 43";{3‘} '2 ff- apwardj a Lazném filming the graph at" fix} m- b‘ duwnward 4’: mm Shil'm [Em giréljpga affix} = f?" m Llu‘: {mi :3 wuéis. grafts me. gram: mffxfix} == 3:.“ an; ”1;: right. r: 11mm Rafiucls‘a the: graph calf fix} = 1“?” 313mm fin; maxim Reflacls um gragfi-‘z nl' fix} m b‘ «fibflll? mu yuaxéa‘. vurlvi-mfiy gsmlclm-‘i ”“5 W333” fiff 1:3?) L" W éaf ‘5' it“ 1‘ Vufliflafl? $§xrj 11kg; fin: 2-31‘3 F“ Mfg-1.x; 2 h“ if IE1: g‘: {1‘ i. Hill'ifiiflfl L211 t3; 5: [wink F; [has graph affix] =2 i1!" iI‘c .1» E Hm‘émn 1:3 [13' s [ratchm fin: 21141135“: {affix} = 1}" if” EI- {r t: L 1 a1 number 6, approximately Stalled the natural base The éfianctlon f(x) '6 1'3 called the natural ieXponent‘ia‘l fimction. . Compound interest: Compaundmtelzes SA i V nvestment " sicalled : .cempeundeiAA‘AJArIGAAAaA "ea” '3 TAM: in V AAA-3 zicxmlxmmwei Vfislc afmr 13%?! ACfi-mwtamli AAA: 3 3 .. A A . . .. . A _ A AAA—A _ _ _ .3 “figmwwv,[nmwfl.w.um.“ w ,_ i’A-J 2:;- f 3? +_ 2 + I: E in ii T3: + H, “:1, WW A .. .. . A A AA A AA A AAA. AA A A 3:333:33“ Al AAA—Au A A} {i + rj=A Pg! A» AAA AA-AAAAAAAAAAL A. Agar: AA Aniamr rm: 1:, nump‘nnfli'ti A A“ 3:13: "AWN. A , , MIAMSAAIA £.,W-.WMMWWWW.... _ .. __WM,,___. am! ii T E. 1 "5:1”?! A : P<i m} m 1-41 12') =' {I 1 w) == Pf” . H, 3 ’3 - m k 5” "5-: A: I: w a»; in; imam“ 3;.Amm,gmfi. l’mlfi Wt; we ma: {Eat famuka far maximums mmwflading is A m Fifi Altmaugh waiinums campwndiflg munda Earrifia, i: 'fs‘ields MEI; a {faflififl 0f 3 gfifia’fififli mm ElitE-Ffifi‘t mm a 3m; {Eh-2m daily Emmmsznding. 333mm A: Emafigmfli 'Immsi Aim .1? yami‘syflw baiaflegg A3 33% an amum wim- 'gximigaa} P and" Swami iiififiéi‘tS-t 173552;! {3m- degimai farm} iagiam by ma ERMA; Effirlfiflifi‘s: m. I. Fflrnmmpfimmgs 1m war: AHP<1 + i) 3- menhrmmfi -. _ g 07mm :9 at i « 1. Graph the function. f(x)=2"‘1+1 3. Find the accumulated value of an investment of $8500 if it is invested for 3 years at an interest rate of 4.25% and the money is compounded monthly. 4. Find the accumulated value of an investment of $1200 if it is invested for 6 years at an interest rate of 6% and the money is cornpounded continuously. rt:— ...
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