Question

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

Answer 1

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!

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

Do you know how to find the root?

Answer 9

This case has no turning point at all!