- Thread starter Creasion
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The absolute minimum or maximum does not have to exist (note the comment, "if they exist"). If you want to say one of them is infinity (or negative infinity), you are probably seeing that it doesn't exist.

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You supply the values of \(\displaystyle \Large{\bf ?}\)Yea, this assignment has got me stumped.

More at the absolute minimum part, would it be the y = infinity or what?

And can the local minimum and absolute minimum be the same?

as in can the sets coincide?

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Local max \(\displaystyle (-3,?)~\&~(?.3)\)

Abs Max \(\displaystyle (?,4)\)

Local Min: \(\displaystyle (?,0)~\&~(3,?)\)

Abs Min \(\displaystyle (?,?)\).

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I'm guessing that you meant to write 'maximum' or else 'negative infinity'. Either way, the answer is no. If any type of minimum or maximum exists, it is always a Real number. In cases where there's no answer, it's somewhat standard to report 'DNE' (does not exist).… at the absolute minimum part, would it be … infinity …?

Not in this exercise, but with other functions it is possible. In this exercise, you can see that the local maximum between x=-1 and x=1 is also the absolute maximum.And can the local minimum and absolute minimum be the same?

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