MATH 1148 Study Guide - Midterm Guide: Exponential Growth, Relative Growth Rate, Asymptote
23 Feb 2015
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Disclaimer: this should not be used as your only guide for what to study: use transformations to graph each of the given functions. Also determine the domain, range, and vertical asymptote of each function: write each of the following as the sum and/or difference of logarithms. Be sure to express exponents as factors. (i. e. don"t leave them as exponents if they can be moved. : combine the expression into a single logarithm, solve the equation. ()ln(2)fxx ()ln(2)2fxx ()2log(2)fxx ln2xxe2241log(3)xxx 2ln1xx 3222log34xxxxx 2loglog15log4yyy ln(1)2ln5lnxxx ln()3lnln()ln()abcabab 5552(log2log3log)xyz 212124ww 92781xx 2ln()ln(1534)rr 4log(21)2x 23log244xx 24xe 26log6412xx 21332xx 2134 53xx 5. Use the exponential growth or decay model to solve: the frog population in a small pond grows exponentially. Round to 2 decimal places: if the company"s claim is true, how many months will it take to have mastered. Vertical asymptote: b. d: a. c, a. b. c. d, a. b. c. d. e. f. g. h. or i, a. i) ii) iii) years b, a.
