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  "body": "\n## Definition\n\nLet $f \\colon A \\to B$ be a [[function|0XHDTE5YMZ]].\nThe range of $f$ is the set\n$$\\operatorname{ran}(f) = \\{f(a) \\mid a \\in A\\} = \\{b \\in B \\mid \\exists a \\in A, \\, f(a) = b\\}.$$\n\n## Remarks\n\nThe range is also called the image of $f$, and it is the [[image|0Q3F20XB0A]] $f(A)$ of the whole domain.\nSome authors use \"range\" for the [[codomain|0F9JHP8AJN]]. This node uses the meaning above.\nFor $f \\colon \\mathbb{R} \\to \\mathbb{R}$ with $f(x) = x^2$, the range is $[0, \\infty)$.\n\n## Explanations\n\n### L1 human\n\nThe range is the set of outputs that actually occur.\nIt can be smaller than the codomain.\n",
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