Math Is Fun Forum

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

[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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May his adventurous soul rest in peace at heaven.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,440

Website

Re: [ASK] Maximum Value?

Neither. That function does not have a maximum.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: [ASK] Maximum Value?

What? How could?

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Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,440

Website

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).

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: [ASK] Maximum Value?

Take a look at this:

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

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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.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,440

Website

Re: [ASK] Maximum Value?

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