RATIONAL FUNCTIONS Graphing And Analysis (Page 14 of 19)

Again a "false connection" appears. This function does have a vertical asymptote at x = 3. We will try to create a window to eliminate the artificial vertical line segment. If we use a multiple of 2(9.4)=18.8 for the window width, the asymptote will correspond to a pixel center since each pixel will be spaced 0.2 units. Set Xmin=-6.4 and Xmax=12.4. Also, increase Ymax to see the upper behavior of this function near its vertical asymptote.

Adjust your WINDOW as shown, then re-graph the function.

WINDOW key....

GRAPH key.

 Calculator screen image. Calculator screen image.
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