In this article, we will study the concept of increasing and decreasing functions, their properties, graphical representation, and theorems to test for increasing and decreasing functions along with …

Strictly Increasing (and Strictly Decreasing) functions have a special property called "injective" or "one-to-one" which simply means we never get the same "y" value twice. Why is this useful? Because …

Nov 27, 2025 · A function is considered increasing if for any two values x1 and x2 such that x1 < x2 , the function value at x1 is less than the function value at x2 (i.e., f ( x1) < f ( x2)). On the other hand, a …

Jun 20, 2025 · Learn about increasing and decreasing functions for your A level maths exam. This revision note covers what they are and how to identify them.

Dec 6, 2025 · The first derivative of a function reveals where the original function is increasing, decreasing, or remains monotonic over specific intervals.

Jan 1, 2026 · Functions are increasing on a given interval if it has a positive slope on that interval. Functions are decreasing on a given interval if it has a negative slope on that interval.

May 16, 2025 · Understanding functions is fundamental to Algebra I and higher level mathematics. In this section, we define what a function is, and we review two key components of functions — the …