Category:Monotone Real Functions

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This category contains results about Monotone Real Functions.
Definitions specific to this category can be found in Definitions/Monotone Real Functions.

This definition continues to hold when $S = T = \R$.

Thus, let $f$ be a real function.

Then $f$ is monotone if and only if it is either increasing or decreasing.

Subcategories

This category has the following 5 subcategories, out of 5 total.

D

Decreasing Real Functions‎ (1 P)

I

Increasing Real Functions‎ (1 C, 1 P)
Inverse of Strictly Monotone Continuous Real Function is Strictly Monotone and Continuous‎ (1 C, 1 P)

M

Monotone Additive Function is Linear‎ (3 P)

S

Strictly Monotone Real Functions‎ (2 C, 3 P)

Pages in category "Monotone Real Functions"

The following 9 pages are in this category, out of 9 total.

C

Continuous Real Function on Closed Interval is Bijective iff Strictly Monotone

D

Discontinuity of Monotonic Function is Jump Discontinuity

I

Increasing Real Function has Countably Many Discontinuities

L

Limit of Monotone Real Function

M

S

Surjective Monotone Function is Continuous

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