150exam2sp10

# 150exam2sp10 - Midterm 2 Review Problems MSLC Math 150 Exam...

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Midterm 2 – Review Problems MSLC Math 150 Exam 2 Review Section 4.1 – Exponential Functions In problems (1) through (4), use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function. x x x x e x f x f x f x f + = = = = 5 ) ( ) 4 ( ) 3 ( 3 1 ) ( ) 3 ( 3 ) ( ) 2 ( 2 2 ) ( ) 1 ( (5) If \$5000 is invested at an interest rate of 7.5% per year, find the amount of the investment at the end of 3 years for the following compounding methods. (a) Annual (b) Semiannual (c) Monthly (d) Continuously Section 4.2 – Logarithmic Functions In problems (6) through (8), use transformations to graph each function. Determine the domain, range, and vertical asymptote of each function. ) 2 log( 2 ) ( ) 8 ( 2 ) 2 ln( ) ( ) 7 ( ) 2 ln( ) ( ) 6 ( = + = = x x f x x f x x f In Problem (9), find the domain of the function. ( ) 10 3 log ) ( ) 9 ( 2 = x x x f In problems (10) through (13), use the definition of the logarithmic or exponential function to solve. 2 ) 41 6 ( log ) 13 ( 4 ) 12 ( 4 243 log ) 11 ( 2 ) 1 2 ( log ) 10 ( 2 6 2 2 3 4 = + + = + = = x x e x x x x Section 4.3 – Laws of Logarithms In problems (14) through (17), write each expression as a sum and/or difference of logarithms. Express powers as factors. + + + + 4 3 2 log ) 17 ( ) 1 ln( ) 16 ( ) 3 ( 1 log ) 15 ( ) 2 ln( ) 14 ( 2 2 3 2 4 2 2 x x

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## This note was uploaded on 06/18/2010 for the course MATH 150 taught by Professor Unknown during the Spring '06 term at Ohio State.

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150exam2sp10 - Midterm 2 Review Problems MSLC Math 150 Exam...

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