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Graphing Rational Functions

Graphing Rational Functions 1.5 - Solution

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Recall that rational functions of the form can be called simple rational functions. In this form, is the vertical asymptote and is the horizontal asymptote. With this in mind, let's begin by determining the asymptotes of the given function. The vertical asymptote is and the horizontal asymptote is To graph the function, we will first graph these asymptotes on the coordinate plane.

Next, we will make a table of values. To do so, we will consider values both to the left and to the right of the vertical asymptote.

Finally, we can plot the points on the same coordinate plane and connect them with smooth curves.