Given that f(x)=xk where k>0, what is the range of f(x) on the interval [1,0)?
Hmmmm....I think the greatest value will be '1' 1^k will always be 1 when k>0 as you approach 0 the value will get mucho smaller for larger values of k ...approaching 0
so range would look something like (0,1] (I think! )