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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Explanation: