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  "body": "\n## Definition\n\nLet $f \\colon A \\to B$ be a [[function|0XHDTE5YMZ]].\nThe graph of $f$ is the set\n$$\\Gamma(f) = \\{(a, f(a)) \\mid a \\in A\\} \\subseteq A \\times B.$$\n\n## Remarks\n\nFor a real function $f \\colon \\mathbb{R} \\to \\mathbb{R}$, the graph is a curve in the plane $\\mathbb{R}^2$.\nLet $G \\subseteq A \\times B$.\n$G$ is the graph of a function from $A$ to $B$ if and only if each $a \\in A$ is the first entry of exactly one pair.\nIn the set-theoretic [[definition of a function|0XHDTE5YMZ]], the function and its graph are the same set.\n\n## Explanations\n\n### L1 human\n\nThe graph of $f(x) = x^2$ is the parabola $\\{(x, x^2) \\mid x \\in \\mathbb{R}\\}$.\nEach vertical line meets it in exactly one point. This is the vertical line test.\n",
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