Author 
Topic 

moon1130
Senior Member
USA
24 Posts 
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. 


royhaas
Moderator
USA
3059 Posts 
Posted  09/28/2012 : 09:23:17

Any translation along the xaxis will look the same. 


moon1130
Senior Member
USA
24 Posts 
Posted  09/28/2012 : 10:12:18

Thank you for your response.
f(x)=xand its translations along the xaxis 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. 


Ultraglide
Advanced Member
Canada
299 Posts 
Posted  09/28/2012 : 17:44:52

Yes, any cubic of the form f(x) = kx where k is any real number. 


moon1130
Senior Member
USA
24 Posts 
Posted  09/28/2012 : 23:57:51

Thank you very much. 



Topic 
