Given:

[-4,5] being the interval how can I find the absolute extrema of the function on this interval? Step by step is always easiet to follow for me. :)

thanks for any help!

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- Jun 9th 2009, 08:39 PMjimmypFinding absolute extrema of function on closed interval
Given:

[-4,5] being the interval how can I find the absolute extrema of the function on this interval? Step by step is always easiet to follow for me. :)

thanks for any help! - Jun 9th 2009, 10:29 PMSoroban
Hello, Jimmy!

This is a*very sneaky*problem!

Quote:

Given: .

Find the absolute extrema of the function on this interval.

We have: .

Then: .

Multiply by

. . Then: .

Critical point: .

Test the endpoints of the interval.

. .

. .

I would have written: .

Then I saw that is a vertical asymptote!

I found that: .

. . So there isabsolute maximum.*no*

But we do have an absolute minimum: .