I recently revisited rational functions, which I had studied a few months back, and came up with the question, why are rational functions called "rational"?
I tried googling the question, however, I found no answer. A neat math reference text I keep also had no explanation. The ranges of rational functions can include irrational numbers, so I ask, what is the meaning behind the name, rational function? Does anyone have a reference about this nomenclature?
In fact, according to Wikipedia:
The coefficients of the polynomials need not be rational numbers; they may be taken in any field K.
This confirms my suspicions that this is not the reason. What am I missing?