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## Main Question or Discussion Point

What is an example of an "onto" function f: ℝ→ℝ

Any combination of vectors along the x-axis will not be able to leave the x-axis to cover the entire xy plane, so i was thinking of something like f(x) = [itex]\left|\stackrel{t}{x}\right|[/itex] for any t[itex]\in[/itex]ℝ, but I was wondering if there are more elegant examples...

^{2}?Any combination of vectors along the x-axis will not be able to leave the x-axis to cover the entire xy plane, so i was thinking of something like f(x) = [itex]\left|\stackrel{t}{x}\right|[/itex] for any t[itex]\in[/itex]ℝ, but I was wondering if there are more elegant examples...