Y={1 if x is rational 0 if x is irrational

How would you describe it's graph?

The set of rational plus irrational numbers equals ALL REAL NUMBERS

Yes, it is a function because every x-value maps into only one y-value. In other words, because rational and irrational are mutually exclusive, x does not map into both 0 and 1

Domain is all real numbers.

Range is 0 or 1

y-intercept happens when x=0, so that is a rational number and y = 1

There are an infinite number of x-intercepts. Every irrational number is an x-intercept

Neither even or odd because it is not symmetric with either the y-axis or the origin.

The graph jumps between y=0 and y=1

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