×
Log in to StudySoup

Forgot password? Reset password here

OSU - MATH 1151 - Fall 2018 - Math 1151 - Class Notes

Created by: Brendah Ajowi Elite Notetaker

> > > > OSU - MATH 1151 - Fall 2018 - Math 1151 - Class Notes
0 5 3 30 Reviews

Join more than 18,000+ college students at Ohio State University who use StudySoup to get ahead
School: Ohio State University
Department: Math
Course: Calculus I
Professor: Carolyn Johns
Term: Fall 2018
Tags: Precalculus and Calculus
Name: Math 1151
Description: Precalculus review a Introduction into limits
Uploaded: 08/28/2018
2 Pages 15 Views 12 Unlocks
  • Better Grades Guarantee
  • 24/7 Homework help
  • Notes, Study Guides, Flashcards + More!
School: Ohio State University
Department: Math
Course: Calculus I
Professor: Carolyn Johns
Term: Fall 2018
Tags: Precalculus and Calculus
Name: Math 1151
Description: Precalculus review a Introduction into limits
Uploaded: 08/28/2018

Unformatted text preview: Rre Calculus Review functions function assions to each number in its domain another under H's a relationship that assigns 2 each input value a single output value Noiation fW=4. Hs not a function if an input has more than one value Vertical line test helps a verity of its a function Domain-sel of all input valuesu/ x values ) Range - set of all output values fws-rx-always a positive number. pe - Ixl Domain: of Ya 10,0) Familiarized with linear functions, quadratic, polynomials square root precerurige rational Linear function - slope intercept form y=mx+b. clumain trange 14,9) zero slope - horizontal undefined v' = Vertical v 2 Inverse fundions Inverse funcion : y=f(x) then f (y)= X - Ontto one fundion unique input for every output value. (inverse funcion (horizontal line test)! - Graphing in verses switch (y lly.x) 3 Exponential 3 logarithimie function. Exponential function-function chor form base on that has form fWJsb* fWeb* natural log: Inftsett base bis 9 + real number e:271828 @ b>0 @domain lall real 60,9) <b>i nocasing range. (0,) Dub <fondere going forestia Say Soup1093 101.601 F=(1) 601 * log3. ex x1093 - ex 9904 0-9601 1=960) e * *60120 127 %60p h 60 - 60 - (306010 6 49 601 92 964 - 19670 Sojne glwypoboyo lol young buonosu.- x 601 139 @ y loaj 110 104 yata' bou OS X 107 X-796019 19 Oct (12 up f. nach -S40 pourt Bilvouddro Jo Josianus-scopury ?Wypubboy boli hz 1791 059 of botones 400 @ 015 Vodb@ bbvyjb @ 0tb To wb C 074 6-wlowf wb = wol 9) * wwb=kuele opow. wb-eins e 1310) ay (20)COMPANY 1142018 Limits Finding limits al gebrarcally-check for a perpendicalar value at X check for holes 3 clased circles limfW) = one if there are both a closed op on circle the closed Circles as the point o find limits numerically-plug in into a rational function and determine the limit of a function : Tim -X-1 =2 because x as dose pas (wont if I make X1 X- X close enough to one Alimit is defined by "limf(x)= L means flet can be made as close to l as desired by making a as close enough to a (but not equal to a) ! - xt1 of x=1 X-1 X9 As Soup lim - lim (x+1) X+1 XL X Imit ) + lim 1 XI X-> I+I= The limit as X>of f(x) and the function value fa are by clefinition diff quantities. They may may not havethe so Palue cepending on the behand or may not have the same monic