Explained: Increasing & Decreasing Functions from CBSE Maths Syllabus
BY Team Aakash Byju's
Increasing and decreasing functions are calculus functions in which the value of
f
(x) rises or falls in proportion to the value of x.
Increasing and Decreasing Functions
The derivative of the function
f
(x) is used to examine the behaviour of increasing and decreasing functions.
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The words "non-declining" and "non-increasing" are used to denote rising and decreasing functions, respectively.
Let
f
(x) be a real valued function defined in the domain (a,b)
The function '
f
' is said to be increasing if
x1 < x2.
Increasing Function
The function
f
(x) is said to be strictly increasing if
x1 < x2.
Strictly Increasing Function
A real valued function is said to be a decreasing function if
x1 < x2.
Decreasing Function
A real valued function is said to be a strictly decreasing function if
x1 < x2.
Strictly Decreasing Function
For Example
Example Continuation