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  title: '"Does this make the definiti..."',
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  anchorContext: 'The codomain of a function is not to be confused with the image of a function, which is the set of points in $Y$ that can actually be reached by following $f$, and which may not include the whole set $Y$\\. For example, the function $\\operatorname{square} : \\mathbb R \\to \\mathbb R$ defined as $\\operatorname{square}(x)=x^2$ has codomain $\\mathbb R$ but its image is the positive real numbers, a subset of $\\mathbb R$\\.',
  anchorText: 'The codomain of a function is not to be confused with the image of a function, which is the set of points in $Y$ that can actually be reached by following $f$, and which may not include the whole set $Y$\\. For example, the function $\\operatorname{square} : \\mathbb R \\to \\mathbb R$ defined as $\\operatorname{square}(x)=x^2$ has codomain $\\mathbb R$ but its image is the positive real numbers, a subset of $\\mathbb R$\\.',
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  text: 'Does this make the definition of the codomain somewhat arbitrary?\n\nThe squares of reals happen to be a subset of the reals, but they're also a subset of all complex numbers. Why say the codomain is $\\mathbb R$ rather than $\\mathbb C$?',
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