asymptotes of f(x)=2^{x/2} — step-by-step solution

⚠ f(x)=2^{x/2} is read as f(x)=2^(x/2): use ^(...) to group an exponent, use * to multiply

Let's find the asymptotes of

2^{\frac{x}{2}}

, for real

x

The function is defined and continuous on ℝ: there is no vertical asymptote

x

tends to

-∞

, the function tends to

0

: the line

y = 0

is a horizontal asymptote at

-∞

x

tends to

+∞

, the function tends to

+∞

and

\frac{f (x)}{x}

tends to

+∞

: no horizontal or slant asymptote at

+∞

▶Asymptotes:

y = 0

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