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A relative _____ of a function is not the necessarily the greatest value of f on the domain, but it is definitely the greatest y-value on a particular interval of the domain.
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A relative maximum. eg: https://www.google.com/search?q=x%5E3+-+4x&aq=f&oq=x%5E3+-+4x&aqs=chrome.0.57j59j0l2j62l2.737j0&sourceid=chrome&ie=UTF-8 has a relative maximum between -2 and 0, which is obviously not the maximum value of the function.
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