How do you find the asymptotes for #y= 2^x#?

1 Answer
Feb 24, 2016

Answer:

There will be no vertical asymptote, because #x# may have any value.

Explanation:

For the horizontal asymptote we look at what happens if #x# gets larger and larger, both positive and negative:

#x->+oo# then #y->+oo# means no asymptote

#x->-oo# then #y->0# so #y=0# is an asymptote

e.g. #x=-10->y=1/1024# and #x=-20->y=1/1048576#
graph{2^x [-16.02, 16.01, -8.01, 8.01]}