11. A polynomial function P(x) has degree n. If n is even, is the number of turning points of the graph of P(X) even or odd? What can you say about the number of turning points if n is odd?
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OpenStudy (pagen13):
@JoeDeWise
OpenStudy (pagen13):
@freckles
OpenStudy (pagen13):
@JoeDeWise
OpenStudy (anonymous):
Qué es
OpenStudy (anonymous):
No se
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OpenStudy (anonymous):
I do not know. :/ sorry
OpenStudy (pagen13):
Ugh... I have no clue...
OpenStudy (anonymous):
how many "turning points" does \(y=x^2\) have?|dw:1449804603220:dw|
OpenStudy (anonymous):
it is clear from the picture?
OpenStudy (pagen13):
is the answer 0?
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OpenStudy (anonymous):
no, has one turning point
goes down, then goes up
OpenStudy (anonymous):
that is what "turning point" means
OpenStudy (pagen13):
So the answer for the first question is at least 1 turning point?
OpenStudy (anonymous):
the answer is that if a function has even, say 4, it can have at most 3 turning points
so if the degree is even, the number of turning points is odd
OpenStudy (pagen13):
Oh Okay thank you!
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OpenStudy (pagen13):
So if its odd it will have an even number of turning points?