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#1 2016-11-29 21:12:48

Monox D. I-Fly
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Registered: 2015-12-02
Posts: 930

[ASK] Maximum Value?

What is the maximum value of

? I got 1, but the book says 2. Which one is right?

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#2 2016-11-29 21:38:24

zetafunc
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Registered: 2014-05-21
Posts: 2,130
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Re: [ASK] Maximum Value?

Neither. That function does not have a maximum.

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#3 2016-11-29 21:39:35

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 930

Re: [ASK] Maximum Value?

What? How could?

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#4 2016-11-29 21:43:05

zetafunc
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Registered: 2014-05-21
Posts: 2,130
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Re: [ASK] Maximum Value?

If by maximum value you mean global maximum, then that polynomial clearly approaches infinity for large x, so it cannot have a maximum.

If you mean a local maximum, then it does have one (at x = -1).

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#5 2016-11-29 21:47:54

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: [ASK] Maximum Value?

Take a look at this:

oGuP0FY.png

If those ends keep going up that way, then he is right.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6 2016-11-29 21:50:56

zetafunc
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Registered: 2014-05-21
Posts: 2,130
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Re: [ASK] Maximum Value?

There are also two stationary points on [-1,0] but the picture is too zoomed out to see them.

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