Question

This is the graph of f(x)=-2 x (1/2)^x. What is the horizontal asymptote of f(x)?

Answer 1

We are given the following function:

$f(x)=-2(\frac{1}{2})^x$

This is a function of the form:

$f(x)=a(b)^x$

For this type of functions the horizontal asymptote is located at:

$y=0$

The graph of the function is: