How do you get a y-intercept? Starter: what's the value of x at any y-intercept.
How do you get an x-intercept? Starter: What's the value of y at any x-intercept
How do you find critical points? Starter: It's got something to do with dy/dx .......
What is the definition of concavity? Starter: It's got something to do with .......
As for asymptotes:
Vertical asymptotes are vertical lines passing through the value of x for which your function is not defined. y = e^(-x^2) is defined for all values of x and therefore does not have any vertical asymptotes.
Horizontal asymptotes are the horizontal lines that your curve approaches as x gets really really big either postively or negatively. That is, you look at the value that y approaches as x --> +oo or as x --> -oo.
As x --> +oo, y = e^(-x^2) --> 0. Ditto for x --> -oo. Therefore y = e^(-x^2) has the horizontal asymptote y = 0, that is, the x-axis.
Did you mean or ??
If the last, then as and so the horizontal asymptote is y = 1 ...... And it's not defined for x = 0 .......