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  "body": "\n## Definition\n\nLet $p$ and $q$ be real polynomials, with $q$ not the zero polynomial.\nLet $D = \\{ x \\in \\mathbb{R} : q(x) \\ne 0 \\}$.\nThe function $f \\colon D \\to \\mathbb{R}$ given by $f(x) = p(x)/q(x)$ is a rational function.\n\n## Remarks\n\nA nonzero polynomial has only finitely many roots, so $D$ is $\\mathbb{R}$ minus a finite set.\nEach rational function is continuous on $D$, since [[polynomials are continuous|0C5TP6RYSV]] and [[quotients of continuous functions are continuous|0GR2APWTAC]].\nFor example, $1/x$ and $(x^2 + 1)/(x - 2)$ are rational functions.\n\n## Explanations\n\n### L1 human\n\nA rational function is a quotient of two polynomials.\nIt is defined everywhere except at the zeros of the denominator.\n",
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