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# Calculus I MATH 2053

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This 4 page Class Notes was uploaded by Willis Oberbrunner on Friday October 2, 2015. The Class Notes belongs to MATH 2053 at Abraham Baldwin Agricultural College taught by Geoff Clement in Fall. Since its upload, it has received 103 views. For similar materials see /class/217644/math-2053-abraham-baldwin-agricultural-college in Mathematics (M) at Abraham Baldwin Agricultural College.

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Date Created: 10/02/15

Library of Functions There are some basic building block functions that typically dominate algebra courses What follows are images from the TI83 graphing calculator along with a brief description for 7 of these major functions For each function we also include both an Xy table of ordered pairs and the corresponding graph In each case the input is shown below along with the window used for all graphs Emu rum me MIHDUM x 1H3 Hmir399 RV2H Hmx9 3 EH H511 anab5 H le jb n 51fH V aab n 5H3 5 1 1V33IEHJ HFe1 The rst function in our chart is the squaring function y x2 whose graph is the parabola shown below This is a simple quadratic function and its main feature is its vertex the point given by 0 0 Its domain includes any real number and its range is all nonnegative real numbers y 2 0 This is an even function with symmetry about the yaXis the line X 0 l I H E I J 3 5 H E 2 H 1 1 I I I I I I I I I39L I39I I I I I I I I I I H 1 1 2 H 3 5 1391 EH3 Next we have the simplest of all linear functions known as the identity function y X This line passes through the origin its X and yintercept and its slope is m 1 This line splits the rst and third quadrants making a 450 angle with the positive XaXis I39 I l a o E s 1 1 33 2 1 g 1 1 f a r 1 f 3 3 5 23K nee messemm y 4 esemmesuee seem rmmnebm 1s dams x s u andns range 1533 n Its endpumhs ch mm m n X 391 News 0 1 2 Il39IZ a 7321 5 2351 V 3 EJ39 Th2 ahmh zvalu mam y e x L makzs wquot shspe sphmng baththz 11m andsecand quadrants Th2 any famedbythz equunn 5 5 mm angle and 1h mmmum pm 15 1h mum hs xe andydmexcefns m alsa n n 395 damn a real numbers andns range 15 yg m bk 1 squnng mm thls 5 snevenrmsmn 3 VHEab X Th2 mxtfm nan n m ngmnbyhequ an y e has feamres Th2 curve sppmshssms 1m y n as x messes mmquot pusmve mm s and appmachzs 1 sum hm asx dzcnasesmwuxd mgmm m myp s Thls 1m 1s callzda asympmte Clzulyx cannmbe um a damn 155 gm dwlsmnby 1s m messs w hn fmmthz 12 ad ywhlzs a dd Xght dzyw1lzsappmachow 55x Izsappm appmach es Th2 1m XE15callzdavemcal asymf nte Thsxsalsacansldzn Ana mum w h pmmsymmzkyaham ms sngmuw momsz X m 1o 1 1 1 1 1o 0 REM 1n 1 1 1n 1 VsEl 2 Th2 mm moans m mm m mummy y z e shnwnbelnwhas mmm mm mum This 5 m wmubammm curve has mm mm symmztxy Th2 mph pm pm n n 15 aJsa m x7 Andymtexceptafthz g lez m mamx mmmbm hsxsan add mm NE 3 27 2 a 1 1 o 1 1 2 a 27 m z emul nl nscans zndthumexseaf u c nmg mconnabwve be mm ahmmxmxses mafmm mstn mem m mtmngmnbyy v 1mm pm n n as m x7 and ydmexcept and m mum is 515a a pm sham thh m curve has 12w mam symmzh39y m shmdd see sum sxmdannes and Menmesbemen m mm and cube mm graphs and um hum X F 3939 J X WW 27 WE mm m manymhzxmtexesnng has curves We Inclqu m mnnbelnw1lstfaxfnn Hex 5 cm whcemexm n andndnls 1 mu m cue 5 5 sz Imilzinkmdxs mumps afthz smdya xgammzky Its equonms x2 y z 1 A111 hsdy 111 921111 imng manquot 15 1 W afshep Human m Wm 11 staps m an 1111 lung 111111 segmznts m Emma 111 mag andapnanthz 111511 Th2 211111151115 gmnby y 1m ax y z x andywhlzs m 1111121115111 yum 1111291155 11mm 2 111 gwenxwhlzs 1111115111152 111 puma mmgexlzss 11111111211111 1 515 5 1115 915 5 2111 am SD 111 pm 5 1 5 5 5 5 11115 9 5 are 111 an an 171111 staps 51111111 111 yum 1mgquot 155 than ax 2111111 2 15 2 and 72 15 7251 111 pm 2 2 and 72 72 m an 111 graphbathm 111 2111me 11 512p Th2 may Integer 1255 11m ax 211111 0 1 7n 5 and a 99 15 71 chm SD 111 pm 7n 1 1 7n 5 71 mm 99 71 are shaman 171111 staps Du m hen Live and lam

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