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**Monox D. I-Fly****Member**- Registered: 2015-12-02
- Posts: 981

What is the maximum value of

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

Neither. That function does not have a maximum.

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**Monox D. I-Fly****Member**- Registered: 2015-12-02
- Posts: 981

What? How could?

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

Take a look at this:

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

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

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