Example · High school
Terms
| Term | This example | Why |
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| identity function |
✓ |
The function $f : \reals \to \reals$ defined by $f(x) = x$ is the identity function on $\reals$, because $f$ sends each real number to itself, and its domain and codomain are both $\reals$.
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| inclusion map |
✓ |
The function $f : \reals \to \reals$ defined by $f(x) = x$ is the inclusion map of $\reals$ into itself, because $\reals$ is a subset of $\reals$ and $f$ sends each real number to itself.
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