to find x intercepts, we plug in 0 for f(x)
then we get x^2 - 2 = 0
x^2 = 2
so x = ±√2
therefore we can say that there will be x intercepts at x= ±√2
to find y intercepts, we must plug in 0 for x.
then we get f(x)= 0^2 -2
then f(x) = -2
therefore there is a y intercept at y= -2
Hope this helps