Disappearing AsymptotesThe Visual Answers

Disappearing Asymptotes:

And then, the graph of the function defined by:

Again:

Now consider:GRAPHICALLY !

Consider the graph of a series of rational functions with denominator of the form x a, where 1 < a < 2.

Keep your eye on:1) the position of the vertical asymptote2) the diagonal distance between the two halves of the graph.

Extension:What would happen if we explored the same relationship from the left side of the asymptote? i.e. How would the graph change, etc.?

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