(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Both the following is true for a particular choice of function f(x):

For any ε>0 there exists an N>0 such that x>N --> |f(x) - 2| < ε

For any ε>0 there exists an N<0 such that x<N --> |f(x)| < ε

Sketch the graph of the function that satisfies both of these conditions.

There are infinitely many correct answers, you need to only sketch the graph of one of them.

Hint: can you say anything about the asymptotes of f(x)

2. Relevant equations

3. The attempt at a solution

I'm not sure but can it be assumed the y-axis (y=0) and y = 2 are horizontal asymptotes? And thus any graph sketched that stays in it those boundaries is acceptable .

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# Homework Help: Graphing Asymptotes

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