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# Graph

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For part A, I'm not sure what the answer is. I tried to do the others but I'm not sure if it is correct. Please check and help with A. Please show work especially if I'm wrong because I need to know this. Thanks.

Nov 13, 2019

#1
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A.  As you 'read'  from L to R is the graph going 'uphill'  from -1 to 0 ?   NO, it is not....it is DECREASING (going 'downhill')

Nov 13, 2019
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Oh okay! And the other ones I answered were correct?

Guest Nov 13, 2019
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D  it does have a 'local' minumum at x= -8    but THE minimum is at x=6  so I am not sure how to answer that one,,,depends on what you have learned

The others appear correct!

ElectricPavlov  Nov 13, 2019
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Yeah, I was a bit confused about D, but I think my teacher wants the local minimum so I might just stick with x=-8. Thank you so much for your help!!

Guest Nov 13, 2019
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For A you have a negative slope, and the problem is intuitively asking for a positive one.

Since they contradict, It is false.

Nov 13, 2019
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Technically.....f(x)  does NOT have a minimum at x  = -8   [  if I remember my Calculus correctly  ]

A local minimum  cannot occur at an endpoint of a function......only an absolute  max or min can occur at an endpoint

So..... at x = -8 we cannot have an absolute min since we  have an absolute min  at  x   = 6   and no local minimum at any point on the graph

This might help  : http://tutorial.math.lamar.edu/Classes/CalcI/MinMaxValues.aspx

Nov 13, 2019
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Thanx for the clarification, Chris!    I wonder what her teacher wants for an answer......

ElectricPavlov  Nov 13, 2019
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Mmmm....I don't know....I suspect that the answrer  might be "True".....they are probably not as nit-picky as Calculus is....LOL!!!

CPhill  Nov 13, 2019
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Thank you for explaining more. I talked with some classmates and no one knows what the teacher wants! She isn't very strict so as long as I explain in detail why I chose what I chose, she should be happy with the answer. If not, I may only get a couple of points deducted but not a lot.

Guest Nov 13, 2019
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Yah, I looked around the 'net and there seems to be a lot of controversy re: this.....boils down to what your teacher's expectations are and what they have taught in class.....    I guess.

ElectricPavlov  Nov 13, 2019