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No, since the equation could be y = x3 (or something similar) which will have a point of inflection at (0,0), meaning there is no relative maximum/minimum, as the graph doesn't double back on itself

For those that are unfamiliar with a point of inflection

<http://mathsfirst.massey.ac.nz/Calculus/SignsOfDer/images/Introduction/POIinc.png>

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Q: Does every graph of a cubic function have relative maximum and minimum points?
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Set the first derivative of the function equal to zero, and solve for the variable.


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