Question

How do you determine if `f(x) = e^(-x^2)` is an even or odd function?

Answer 1

Even

Explanation:

If f(-x)=f(x), f(x) is an even function and if f(-x)=-f(x), it is an odd

function. If it is neither, f is neither odd nor even..

Here,`f(-x)=e^(-(-x)^2)=e^(-x^2)=f(x)`,

So, f(x) is an even function of x.

The graph of even function will be symmetrical about the y-axis.