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PAGE: 62SET: ExercisesPROBLEM: 47
Please look in your text book for this problem Statement

The curve is , .

Graph :

Graph the curve  :

Vertical asymptote :

The vertical asymptote is a line equation, toward which a function  approaches to either positive or negative infinity.

Observe the graph.

The vertical asymptotes are  and .

The curve is .

Find the vertical asymptote.

Rewrite the curve.

.

Vertical asymptote are vertical lines which correspond to the zeroes of the denominator of a rational function.

To find the vertical asymptote, equate denominator of the function to zero.

So 

The general solution for  is , where  is an integer.

If  then .

If  then .

The vertical asymptote are  and .

The vertical asymptotes are 

The exact vertical asymptotes are .



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