Does there exist a function f:RR -> RR such that for every non-vertical line L in RR^2, L intersects the graph of f infinitely many times?

dansleiksj

dansleiksj

Answered question

2022-10-02

Does there exist a function f : R R such that for every non-vertical line L in R 2 , L intersects the graph of f infinitely many times?

Answer & Explanation

Kaitlyn Levine

Kaitlyn Levine

Beginner2022-10-03Added 12 answers

I think e x sin ( x ) will work.
For any line y = m x + b, once x is large enough, there will be an intersection between 2 k π and 2 ( k + 1 ) π for k = x 2 π

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