RATIONAL FUNCTIONS Asymptotic Behavior (Page 1 of 5)

Let's explore the asymptotic behavior of the rational function f(x) = (5x+1)/(2x-3). We will do this from a numerical perspective using the TABLE. First, enter this function as Y1. It is important to enter the numerator and denominator in parentheses whenever working with rational functions. Then set up the TABLE in Ask mode (ignore the first two settings on the TABLE SETUP screen).

 Y= key. (Clear any previous functions)

 Left parenthesis key. 5 X,T,theta,n key. Plus key. 1 Right parenthesis key. Divide key. Left parenthesis key. 2 X,T,theta,n key. Minus key.
 3 Right parenthesis key.

 Calculator screen image.
 2nd TBLSET key.

 Down arrow key. Down arrow key. Right arrow key. ENTER key.

 Calculator screen image.
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