Minimum and Maximum Values

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Last updated 4:06 AM on 11/21/25
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4 Terms

1
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A function “f” has a local/relative maximum “f(c)” at x = c if…

For all x-values on some interval containing “c”, f(c) ≥ f(x)

2
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A function “f” has a relative/local minimum at x = d if…

f(d) ≤ f(x) for all x on our interval

3
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If these values of relative/local minimum/maximum are minimums/maximums for our entire domain of “f”, then…

The extrema are global/absolute minimum/maximum

4
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