f(x) and g(x) have a common x-intercept.
True.....the both have the x intercept of (2,0)
f(x) is greater than g(x) for all values of x.
False .......at x = 4, f(x) = 0 but g(x) = 2
f(x) and g(x) have the same y-intercept.
Definitely False......g(x) has a positive y intercept = 2, f(x) has a negative y intercept
f(x) and g(x) intersect at two points.
False......the only common point is (2,0)