So far the only true statement I see is that function f is increasing whilst function g is decreasing.
I cannot say yes to the first one as there is a lack of x-intercepts.
Past the interval of 0,2, there are no changes in the line of function g as it remains the same despite the increase in y. Function f on the other hand has a rate of change.
The y-intercepts are the same (positive 2) so the third statement is out.