Consider the equation: y={1 if x is rational {0 if x is irrational Is this a function? What is its domain? What is its range? What is its

if x is irrational

Is this a function? What is its domain? What is its range? What is its y-intercepts, if any? What are its x-intercepts, if any? Is it even, odd, or neither? How would you describe its graph?

A picture for an example of this type of graph would be great as well, thank you.