Question

How do you know if `f(x)=e^(x^2-1)` is an even or odd function?

Answer 1

Even function

Explanation:

`"Even function": f(x)=f(-x)`

`"Odd function": f(-x)=-f(x)`

`f(x)=e^(x^2-1)`

`f(-x)=e^((-x)^2-1)=e^(x^2+1)`

Since `f(x)=f(-x)` the function is even.