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T O P I C R E V I E W
moon1130	Posted - 09/27/2012 : 22:12:02 Is the cubic function f(x)=xthe only cubic function that has no local maximum or minimum? Thank you.
4 L A T E S T R E P L I E S (Newest First)
moon1130	Posted - 09/28/2012 : 23:57:51 Thank you very much.
Ultraglide	Posted - 09/28/2012 : 17:44:52 Yes, any cubic of the form f(x) = kx where k is any real number.
moon1130	Posted - 09/28/2012 : 10:12:18 Thank you for your response. f(x)=xand its translations along the x-axis will have no local maximum and minimum. Are there any other cubic functions, excluding vertical and horizontal translations of f(x)=x, that have this property of no local maximum or minimum? Thank you.
royhaas	Posted - 09/28/2012 : 09:23:17 Any translation along the x-axis will look the same.