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OpenStudy (iwanttogotostanford):
^^
OpenStudy (tkhunny):
Can you speculate as to the DEGREE of each function?
OpenStudy (iwanttogotostanford):
@3mar helo! you are back!! please help!
OpenStudy (3mar):
Yes, I am back.
I was praying!
OpenStudy (iwanttogotostanford):
oh i understand! :-)
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OpenStudy (tkhunny):
Answer my question and you will be sure.
OpenStudy (iwanttogotostanford):
I think it is A, can anyone confirm 100% @SolomonZelman ?
OpenStudy (tkhunny):
So, you're not going to answer my question?
OpenStudy (iwanttogotostanford):
you're not answering mine! i said is it A?
OpenStudy (iwanttogotostanford):
@steve816 A?
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OpenStudy (tkhunny):
I already know the answer. You need to tools to reason it out. Answer my question and you will have the tools to answer with no doubt.
OpenStudy (iwanttogotostanford):
the degree of each function is 2 and 0.2
OpenStudy (tkhunny):
"A" looks pretty straight to me. Degree 1, maybe?
OpenStudy (iwanttogotostanford):
yeah... the answer cannot be determined!
OpenStudy (tkhunny):
Okay, how about the minimum degree for B?
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OpenStudy (iwanttogotostanford):
uhh isnt it already solved?? the answer can't be determined!
OpenStudy (tkhunny):
Again, answer my question and you will have no doubt.
OpenStudy (iwanttogotostanford):
min degree for b is 0
OpenStudy (tkhunny):
Not so. Have you ever seen a degree zero function (constant) turn around twice?
OpenStudy (iwanttogotostanford):
no! thats why i think it is not determined!
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OpenStudy (tkhunny):
So, what degree is it - at least?
OpenStudy (iwanttogotostanford):
2
OpenStudy (tkhunny):
That would be a parabola. Does it look like a parabola?
OpenStudy (iwanttogotostanford):
no.
OpenStudy (tkhunny):
You're so focused on the answer, your not thinking about how to find it. What is the minimum degree of B?
Degree 1 turns around 0 times
Degree 2 turns around 1 time
Degree 3 turns around potentially 2 times
Degree 4 turns around potentially 3 times
an we agree that it must be AT LEAST degree 3?
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OpenStudy (tkhunny):
* Can
OpenStudy (iwanttogotostanford):
Yes..!
OpenStudy (tkhunny):
I'd stay if you would answer my questions.
Given a polynomial function, how many degrees do we lose when we take a derivative?
OpenStudy (iwanttogotostanford):
2
OpenStudy (tkhunny):
?? Polynomial rule?
\(\dfrac{d}{dx} x^n = nx^{n-1}\)
How many degrees did we lose?
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OpenStudy (iwanttogotostanford):
3
OpenStudy (tkhunny):
We started with "n", and we ended with "n-1". How many degrees did we lose?
OpenStudy (iwanttogotostanford):
1
OpenStudy (tkhunny):
That's the spirit.
So, if B is degree 3, and A is degree 1, that is a drop of TWO degrees. Can A be the derivative of B?
OpenStudy (iwanttogotostanford):
no!
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OpenStudy (tkhunny):
We just determined it.
OpenStudy (tkhunny):
So much for answer A.
OpenStudy (iwanttogotostanford):
oh wow you're right!
OpenStudy (iwanttogotostanford):
so C correct? because they aren't equal each other
OpenStudy (tkhunny):
There it is, then. Clearly, also, going UP two degrees, B cannot be the derivative of A.
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OpenStudy (iwanttogotostanford):
so confirm it is C? you were a big help by the way thank you !
OpenStudy (tkhunny):
It took a little patience from both of us. It's a worthwhile lesson. Good work.
OpenStudy (iwanttogotostanford):
thank you:-) you too! do you by chance know any spanish??
OpenStudy (tkhunny):
Ha. Finnish, not Spanish.
OpenStudy (iwanttogotostanford):
are you from finland?
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OpenStudy (tkhunny):
No. Spent some time there a long time ago. Its pretty rusty. :-) gtg Stay awesome.