What are the asymptotes for $g (x) = 5^{x}$ $g(x)=5^x$ ?

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Answer 1 · 2015-08-07T17:18:36

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

The domain consists of all real numbers.

The range consists of all real numbers from zero to infinity, because $5^{x}$ $5^x$ is always positive.

As $x$ $x$ becomes increasingly negative, $g (x)$ $g(x)$ gets increasingly closer to zero.

The $x$ $x$ axis or $(g) x = 0$ $(g)x=0$ is the horizontal asymptote.

Graph

What are the asymptotes for g(x)=5^xg(x)=5xg(x)=5^x?