Interval Notation for Monotonicity
When describing the monotonicity of a function, the monotonic intervals must be clearly specified. For example: - The function f(x) = x² is monotonically decre…
Syllabus path: Functions › Concepts and Properties of Functions › Monotonicity of Functions
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CSCA Mathematics Formula Reference
Formula and explanation
When describing the monotonicity of a function, the monotonic intervals must be clearly specified. For example: - The function f(x) = x² is monotonically decreasing on the interval ( - ∞, 0] and monotonically increasing on the interval [0, + ∞). - Monotonic intervals can be open, closed, or half - open intervals. - Monotonic intervals are usually subsets of the function's domain.
Related tutorial and examples
Monotonicity of Functions
Monotonicity of Functions 1. Concept Monotonicity describes the trend of a function's value as the independent variable increases. It is the mathematical expression for whether a graph is "rising" or "falling". Let the domain of function f(x) be D, and let I ⊆ D be an interval. M…
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