SOLUTION: HELP PLEASE !!! The cubic function A)HAS TWO TURNING POINTS B)HAS ONE LOCAL MAXIMUMAND ONE LOCAL MINIMUM C)INCREASES,THEN DECREASESAND UNCREASES AGAIN D)ALL OF THE ABOVE WH

Algebra ->  Finance -> SOLUTION: HELP PLEASE !!! The cubic function A)HAS TWO TURNING POINTS B)HAS ONE LOCAL MAXIMUMAND ONE LOCAL MINIMUM C)INCREASES,THEN DECREASESAND UNCREASES AGAIN D)ALL OF THE ABOVE WH      Log On


   

Question 1029529: HELP PLEASE !!!
The cubic function
A)HAS TWO TURNING POINTS
B)HAS ONE LOCAL MAXIMUMAND ONE LOCAL MINIMUM
C)INCREASES,THEN DECREASESAND UNCREASES AGAIN
D)ALL OF THE ABOVE
WHICH ONE IS CORRECT
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If you are talking about any cubic polynomial of the form , then none of those are true.

A) If by "turning point" you mean a point where the function's derivative (in x) changes sign, this need not be true. For example, has no turning points.
B) Not true, has no local minima or maxima.
C) Not true, is weakly increasing over the entire real line.