What are the asymptotes for #h(x)=5^(x-2)#?

1 Answer
Ernest Z.
Aug 7, 2015

The only asymptote is the #x#-axis: #color(red)(h(x)=0)#

Explanation:

The domain consists of all real numbers.

The range consists of all real numbers from zero to infinity, because #5^(x-2)# is always positive.

As #x# becomes increasingly negative, #h(x)# gets increasingly closer to zero.

The #x# axis or #h(x)=0# is the horizontal asymptote.

Graph

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