The Fourier Series of the Function $f ( x ) = \left\{ \begin{aligned}x & \text { if } x < 0 \\2 - x & \text { if } x > 0\end{aligned} \right\}$

Multiple Choice

The Fourier series of the function $f ( x ) = \left\{ \begin{aligned}x & \text { if } x < 0 \\2 - x & \text { if } x > 0\end{aligned} \right\}$ on $[ - 2,2 ]$ are Select all that apply.

A) contains only cosine terms
B) contains only sine terms
C) contains sine and cosine terms
D) contains a constant term
E) contains sine, cosine, and constant terms