A local maximum of the function f(x) occurs when x =
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we say that f (x) has a relative or local maximum at x = c if f (x) <= f (c)
when we say an open interval around x = c we mean that we can find some interval ( a, b ), not including end points such that a < c < b
or in other words
c will be contained some where inside the interval and will not be either of the end point
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