A function is increasing when the y-value increases as the x-value increases, like this: It is easy to see that y=f (x) tends to go up as it goes...

The function is said to be increasing if the value of f (x) increases with an increase in the value of x and the function is said to be decreasing if the value of f (x) decreases with an increase in …

Dec 3, 2025 · A function f (x) increases on an interval I if f (b)>=f (a) for all b>a, where a,b in I. If f (b)>f (a) for all b>a, the function is said to be strictly increasing.

Nov 27, 2025 · In simple words, an increasing function is a type of function where, with increasing input (or the independent variable), output also increases (or the value of the function).

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.

For differentiable functions, if the derivative of a function is positive on an interval, then it is known to be increasing while the opposite is true if the function's derivative is negative.