How to find the asymptotes of $f(x) = 6^(x-2)$ ?

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Answer 1 · 2016-01-14T03:03:57

$y=0$

Find the limit in either infinite direction.

$lim_(xrarroo)6^(x-2)=6^oo=oo$

$lim_(xrarr-oo)6^(x-2)=6^-oo=1/6^oo=0$

Note that this is just a mental process to undergo.

Thus the asymptote is $y=0$ (as $xrarr-oo)$ .

We can check a graph:

graph{6^(x-2) [-8.535, 13.965, -2.52, 8.73]}

How to find the asymptotes of f(x) = 6^(x-2)f(x) = 6^(x-2)?