Question

If f(X) = e^x, which of the following lines is an asymptote to the graph of f?

a) Y = 0
b) x=0
c) y=x
d) y=-x
e) y = 1

Answer 1

y = 0

Answer 2

How did you get to that?? Is it because it runs along the zero, why wasnt it E?

Answer 3

Thanks for your help!

Answer 4

You would check the end behavior of the graph by evaluating the limits at infinity:
\[\lim_{x\to\infty}e^x=\cdots~~~~~~~~~~\text{and}~~~~~~~~~~~\lim_{x\to-\infty}e^x=\cdots\]