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The 12 pages that link to Monotonic function, each with the reason it gives.

• CorrelationRelated: Rank correlations can detect consistently increasing or decreasing associations without requiring a straight line.

• Periodic functionCompared with: A nonconstant monotonic function on an interval cannot also repeat periodically.

• Intermediate value theoremRelated: Monotonicity can make an intermediate value unique, a guarantee the theorem alone does not provide.

• Injective functionRelated: Strict monotonicity on an ordered domain is a common sufficient condition for injectivity.

• Mean value theoremRelated: Derivative sign tests for monotonicity follow from the theorem applied between any two points.

• Monotone sequenceCompared with: It applies an order condition across function inputs, rather than across sequence indices.

• Squeeze theoremRelated: Monotonicity can help construct or verify upper and lower bounds.

• Maximum and minimumCompared with: A strictly monotonic function on an interval has no interior local extrema.

• Constant functionRelated: A constant function is both nondecreasing and nonincreasing under the usual order convention.

• Range of a functionRelated: Monotonicity can reduce range-finding to checking endpoint behavior.

• Even and odd functionsCompared with: Monotonicity describes order, not symmetry about an axis or origin.

• Function of a real variableRelated: Order behavior helps establish bounds, injectivity, and the existence of inverses.