What is the equation for the asymptote of the function f(x)=2^x?

The function 2^x is exponential.

It keeps growing as x goes to + infinity so it does not have horizontal asymptote to the right.

The limit of 2^x when x goes to - inifinity is 0,so y = 0 is a horizontal asymptote.

It does not have vertical asymptotes because the function is defined for all the real x values.

y = 0

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.

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