Minimum and Maximum Values

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)

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

f(d) ≤ f(x) for all x on our interval

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

Visual explanation