# DISS 3.docx - Sketch the graph of the following function f...

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Sketch the graph of the following function 9 9 ) ( 2 x x f solution 1 ) 0 ( 9 9 f The numerator is a constant and so t here won’t be any y-intercepts since the function can never be zero. Next, we’ll have vertical asymptotes at X − 9 = 0 ⇒ x = ±3 So, in this case we’ll have three regions to our graph : X < −3 , −3 < x< 3 , X > 3 . Also, the largest exponent in the denominator is 2 and since there are no Xs in the numerator the largest exponent is 0, so by the fact the X-axis will be the horizontal asymptote. Finally, we need some points. We’ll use the following points here.