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

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Answer 1 · 2015-08-07T17:42:18

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

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

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