I am asked to fine the absolute extrema of this function on the interval $[-1,1]$:
]1
I know the absolute minimum is $0,0$. But are points $(-1,2)$ and $(1,2)$ both absolute maximums or are they local maximums?
2026-04-12 09:41:32.1775986892
Is it possible to have $2$ absolute maximums?
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Absolute/global maximum refers to the largest value attained by $f$ over the domain. The points at which this value is attained are called points of global maximum. In short, there is only one global maximum (if it exists) but there may be many points of global maximum.
In your case, the global maximum is $2$ and global maximum points are $1,-1$.