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

1 Answer
Jan 14, 2016

Answer:

#y=0#

Explanation:

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]}