There is an odd function f going through (0,0). Estimate the point(s) at which the graph of f has a local maximum or a local minimum.

Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: There is an odd function f going through (0,0). Estimate the point(s) at which the graph of f has a local maximum or a local minimum.

Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: There is an odd function f going through (0,0). Estimate the point(s) at which the graph of f has a local maximum or a local minimum.
