Question

How many turning points do you see in this graph? Graph link is in the first "slot" below this question. Thanks.

Answer 1

http://www.wolframalpha.com/input/?i=y%3D-%28x+%E2%80%93+1%29%28x+%2B+2%29%5E3

Answer 2

I see two - one at x=-2, one at roughly x=-0.5.

Answer 3

Do you mean inflection points?

Answer 4

@ opiesche --> Does your answer mesh with this theory (at the link)
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Maximum Number of Turning Points. The maximum number of turning points is one less than the degree of the polynomial. So, if the degree is n, the maximum number of turning points is n–1.

Minimum Number of Turning Points. The minimum number of turning points depends on whether the degree, n > 0, is odd or even. If n is even, there is at least one turning point but if n is odd, there may not be any.

http://webgraphing.com/polynomialtricksoftrade.jsp

Answer 5

@ Fool ---> I don't know because the question came from another asker. Here is the question as originally stated ---> http://openstudy.com/users/directrix#/updates/4f376bdee4b0fc0c1a0d4e96

Answer 6

Let's check :P
http://www.wolframalpha.com/input/?i=d%2Fdx++-%28x+%E2%80%93+1%29%28x+%2B+2%29^3

The derivative changes signs at -2 and ~+0.25, not -0.5. Oh how the eyes can deceive ;)

Answer 7

@Directrix: I am not sure but I think the inflection point is the only way out for a precise answer.

Answer 8

Differentiate the function to and find real roots of the derivative
All values are the inflection points

Answer 9

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Answer 10

2 turning points

Answer 11

Correction
1 inflextion 1 maxima

Answer 12

At -2, there's a double and then a single at 1/4 --> zeros of y'. I look at the graph and think I see 1 inflection point and 1 max. Have you studied "terrace points?" That was mentioned in class.

Answer 13

Might have but knowing by another name

Answer 14

I'm assuming that's where d' becomes 0 and stays there?

Answer 15

y' of course. It's late.