how do you find the end behavior and number of turning points of y=-5x^3? thanks

Question

anonymous · Answer

Both ends down ward because a negative ( -5)
Third degree polynomial has maximum of number of turning points is 2, however in this case just 1!

anonymous · Answer

so when the number is negetive the maximum number of turning points is only 1?

anonymous · Answer

No, in this case"
if you let y = 0, give only 1 value x = 0
=> only 1 turning point!

anonymous · Answer

Suppose
f(x)= 5 x(x-5)(x- 4)
then you have 3 -1 = 2 turning points

anonymous · Answer

what about y=3x^3+4x^2+2x-1?

anonymous · Answer

That's why the rule says at most 2 turning points, since you need to solve it to see how many real roots!

anonymous · Answer

what about y=3x^3+4x^2+2x-1?

anonymous · Answer

Do you know how to find the root?

anonymous · Answer

This case has no turning point at all!