**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. |