# Category:Continuous Real Functions

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This category contains results about Continuous Real Functions.

The concept of **continuity** makes precise the intuitive notion that a function has no "jumps" or "holes" at a given point.

Loosely speaking, a real function $f$ is **continuous** at a point $p$ if and only if the graph of $f$ does not have a "break" at $p$.

## Subcategories

This category has the following 12 subcategories, out of 12 total.

### B

### D

### E

### L

### N

### R

### U

## Pages in category "Continuous Real Functions"

The following 31 pages are in this category, out of 31 total.

### A

### C

- Composite of Continuous Mappings is Continuous/Corollary
- Concave Real Function is Continuous
- Constant Function is Continuous/Real Function
- Constant Real Function is Continuous
- Continuous Function on Closed Real Interval is Uniformly Continuous
- Continuous Real Function is Darboux Integrable
- Continuous Real Function on Closed Interval is Bijective iff Strictly Monotone
- Convex Real Function is Continuous