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Meaning of strictly increasing function

strict'ly increas'ing func'tion

Pronunciation: [key]
— Math. Math.
  1. a function having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is greater than the image of the smaller point. Cf.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.