how to solve and find this horizontal asymptote and the domain?

Question

Graph the transformation of f(x) = 2x . Give the horizontal asymptote, the domain.

f(x)=2^x-2

How to solve the horizontal asymptote and the domain?

Answer 1

Hi, since your function is linear, meaning that x is not a polynomial or of the second degree or higher, you have NO horizontal asymptote!

Also the domain for the function would be all real numbers. You can plug in any number for x from negative infinity all the way to positive infinity and still get a value for y.