Name: Saima
Who is asking: Student
Question: There are many graphs that pass all three symmetry tests, any circle with centre at the origin for example. If the curve is the graph of a function however the choices are much more limited. If (x,y) is on the graph of such a function then (x,y) is also on the graph since it is symmetric in the xaxis. Since the graph is the graph of a function, y = y. That is y = 0. Hence Claude's answer to your question is "Yes there is one, but it is a really shy function that spends all of its time hiding behind the xaxis." Cheers,Claude and Penny
