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

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) (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.
RELATED QUESTIONS
Find the numbers, if any, at which f has a local minimum. What are the local minima? The (answered by Fombitz)

This cubic, c(x) = x^3 � 2x^2 � 24x, has zeroes at x ∈ {-2, 0, 6}. What is the... (answered by Edwin McCravy)

i have a two part symmetry and function related question: A. Find the point of symmetry (answered by Alan3354)

The graph of a cubic function has a local minimum at (5,-3) and a point of symmetry at... (answered by greenestamps)

Sketch a cubic function y=p(x) with two distinct zeros at x=2 and x=5 and has a local... (answered by jim_thompson5910)

Help, Please! I am supposed to write a cosine function, f(x), such that on one period a... (answered by Alan3354)

Please need assistance 1) Consider the function f (x) = x square - 4x cube (a)... (answered by rothauserc)

sketch a cubic function (third degree polynomial function y=p(x) with two distinct zeros... (answered by josgarithmetic,greenestamps)

Please help Write a sine function, w(x), such that on one period a local maximum is at... (answered by greenestamps,rothauserc)