If $f$ is the Fourier series of $g(x)=\begin{cases} 3, & -4 < x < 0 \cr 16 - x^2, & 0 \leq x < 4 \end{cases}$, then
$f(x)=$ $+\displaystyle\sum_{n=1}^{\infty} \Bigg[ \Big($ $\displaystyle\Big)\cos\Big(\frac{n \pi}{4}x\Big) + \Big($$\displaystyle\Big)\sin\Big(\frac{n \pi}{4}x\Big) \Bigg]$

What does $f(-4)$ equal?$\ \ \ \ f(-4)=$

What does $f(-2)$ equal?$\ \ \ \ f(-2)=$

What does $f(0)$ equal?$\ \ \ \ f(0)=$

What does $f(1)$ equal?$\ \ \ \ f(1)=$

What does $f(4)$ equal?$\ \ \ \ f(4)=$