# 10.19 - on the left side of x=0, give a small (positive or...

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October 19, 04 (tuesday)

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Note that we can understand the behaviors (touch or cross the axis) at the x-intercepts x=1 and x=3 from the function (like we did for polynomial functions). Note that y=0 is a horizontal asymptote on both ends (i.e. our graph approaches to this line for ± ∞ x ). Vertical asymptotes are x=0, x=2 and x=4; numbers that make the denominator zero. To see why the graph goes to on the right side, and to -

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Unformatted text preview: on the left side of x=0, give a small (positive or negative) value to x and evaluate the sign of the function 2 2 ) 4 )( 2 ( ) 3 ( 1)-(x---x x x x . You can do similar analysis for other vertical asymptotes to understand the behavior of the graph on both sides of each asymptote. Read the last part as “we get 2 different limits!” Hw: page 68-69, #1,2,7 and 9 (only a,b,c parts), 15,17,18,21,22,29,31,33,35,37,39,41,45....
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## This note was uploaded on 03/16/2012 for the course FENS 101 taught by Professor Selçukerdem during the Fall '12 term at Sabancı University.

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10.19 - on the left side of x=0, give a small (positive or...

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