Fourier Series: Is f(x) Even or Piecewise Continuous?

[hawaiifiver]

Hello. I have to find the Fourier series for f(x) = 1 + cos(pi x / L). My question is about f(x)

Is this function even? I plotted it out and it looks even. The question I am completing starts off by saying:

assume that any function f for which f and its derivative are piecewise continuous on the interval - L < x < L

Is f(x) even or piecewise continuous or both?

 

[micromass]

You can calculate this easily: f(x)=f(-x), by applying the rule that cos(x)=cos(-x).

And yes, f is piecewize continuous.