Consider the following function. (If an answer does not exist, enter DNE.)
f(x) = e^(-x^2)
(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)
x = ?
Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)
y = ?
The function f(x) = e^(-x^2) does not have any vertical asymptotes.
To find the horizontal asymptote, we can take the limit of the function as x approaches positive or negative infinity.
lim(x->±∞) e^(-x^2) = 0.
Therefore, the horizontal asymptote is y = 0.