What are the asymptotes for #h(x)=5^(x-2)#? Precalculus Functions Defined and Notation Asymptotes 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. Answer link Related questions What is an asymptote? What are some examples of functions with asymptotes? How do asymptotes relate to boundedness? Why do some functions have asymptotes? What are the vertical asymptotes of #f(x) = (2)/(x^2 - 1)#? Is the x-axis an asymptote of #f(x) = x^2#? Where are the vertical asymptotes of #f(x) = tan x#? Where are the vertical asymptotes of #f(x) = cot x#? How do I find the vertical asymptotes of #f(x)=tan2x#? How do I find the vertical asymptotes of #f(x) = tanπx#? See all questions in Asymptotes Impact of this question 1272 views around the world You can reuse this answer Creative Commons License