Say we have a function, [itex]f(x)=x^3[/itex](adsbygoogle = window.adsbygoogle || []).push({});

one would say "[itex]f[/itex] is a function from [itex]\mathbb{R}[/itex] to [itex]\mathbb{R}[/itex]" or [itex]f: \mathbb{R}\to\mathbb{R} [/itex]

Then say we have a vector function, [itex]\vec{g}(t)=<t^2+1,t> [/itex].

How would one use the above notation? Would it be [itex]\vec{g}: \mathbb{R}\to\mathbb{R}^2 [/itex]?

And could one say that [itex] \mathbb{R}^2 [/itex] is the same as the vector space [itex] \mathbb{R}^2 [/itex]?

What is the difference between a set of vectors and a set of points?

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# Function domain and range

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