is it even,odd, or neither?

Question

y=⟨ 1 if x is rational 

    ⟨ 0 if x is irrational

 

Answer 1

This will be even.  The reason for this is because the x-axis contains both rational and irrational inputs.  If we plot points on that coordinate system, the graph will have output values of 0 and 1 jumping up and down.