Understanding Even Functions and the Role of Exponential Functions

[ZedCar]

Am I correct in thinking exp(−x^2 ) is an even function?

Thanks

 

[micromass]

Yes! Do you see why?

 

[ZedCar]

Yes! Do you see why?

I think it's because if the x was replaced by (-x) you would have

exp(−(-x)^2 ) = exp(-x^2) which is the same as the original function

It's the same either with a +x or -x making it an even function.

 

[micromass]

I think it's because if the x was replaced by (-x) you would have

exp(−(-x)^2 ) = exp(-x^2) which is the same as the original function

It's the same either with a +x or -x making it an even function.

Indeed!