{
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    "function-image",
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  "body": "\n## Summary\n\nIn mathematics, the **image** of a [[function|0EPAT51DXQ]] $f: X \\to Y$ is the [[set|0BSJ7RQ9BW]] of all $f(x)$ such that $x$ belongs to the [[domain|0Q4CBD3HX0]] of $f$. The *image* by $f$ of an element $x$ of the domain of $f$ is $f(x)$, that is, the output corresponding to the input $x$. The *image by* $f$ of a subset $S$ of the domain of $f$ is the set of all $f(x)$ such that $x$ is in $S$, that is, the set of the images of the elements of $S$. Equivalently, it is the image of the [[restriction|0NF1KGDXX3]] of $f$ to $S$.\n",
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      "wikipedia": "Image (mathematics)"
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        "wikipedia": "en:579311@r1360048754"
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  "markdown": "https://math2.tamnd.com/node/J5DEEKRRCY.md",
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  "name": "Image (mathematics)",
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  "uri": "m2://J5DEEKRRCY",
  "url": "https://math2.tamnd.com/wiki/image-mathematics/",
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