- #1
Aziza
- 190
- 1
What is an example of an "onto" function f: ℝ→ℝ2 ?
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...
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...