the trick here is to substitute points given

substituting point A x-value =b

turns out false since (b,a*b^b) !=(b,0)
substituting point B x-value=0

turns out true since (0,a)=(0,a)
we already got f(x) at x =0 which is not the point (0,0)
so c is false
substituting D x-value=a

hence B is the correct answers