Could someone help me with this question:

$\displaystyle The\ function\ is\ given\ by$

$\displaystyle f(x)=x\ for\ 0 \leq x<1$

$\displaystyle f(x)=1/x^2\ for\ 1 \leq x<2$

$\displaystyle and\ f(x)=f(x+2)\ for\ all\ x$

$\displaystyle 1)\ Is\ f(x)\ odd,\ even\ or\ neither.\ Explain?$

$\displaystyle 2)\ Is\ f(x)\ periodic?\ If\ so\ state\ the\ period.$

$\displaystyle 3)\ Find\ any\ relevant\ maxima\ or\ minima\ of\ f(x)$