Question: Let U R2 be an open set. If f : R2 R is the projection function, f(x,y) = x. Show that f(U) = {f(x, y)|

Let U R2 be an open set. If f : R2 R is the projection function, f(x,y) = x. Show that f(U) = {f(x, y)| (x, y) U} is an open subset of R.

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