Let $\int_{0}^{2}\,f(x)\,dx = 6$.

(a) What is the average value of $f(x)$ on the interval from $x = 0$ to $x = 2$?
average value =

(b) If $f(x)$ is even, find each of the following:
$\int_{-2}^{2}\,f(x)\,dx =$
the average of $f(x)$ on the interval $x = -2$ to $x = 2$ =

(c) If $f(x)$ is odd, find each of the following:
$\int_{-2}^{2}\,f(x)\,dx =$
the average of $f(x)$ on the interval $x = -2$ to $x = 2$ =