Definition of Monotonicity of a Function

For any x₁ < x₂ in the domain, if f(x₁) < f(x₂), the function is monotonically increasing; if f(x₁) > f(x₂), the function is monotonically decreasing.

Syllabus path: Functions › Concepts and Properties of Functions › Comprehensive Application of Function Properties

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CSCA Mathematics Formula Reference

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For any x₁ < x₂ in the domain, if f(x₁) < f(x₂), the function is monotonically increasing; if f(x₁) > f(x₂), the function is monotonically decreasing.

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Comprehensive Application of Function Properties

Comprehensive Application of Function Properties 1. Core Concepts This section integrates all properties. Complex CSCA problems often combine Monotonicity, Parity, Periodicity, and Symmetry. Three Keys to Solving Problems: 1. Transformation: Use Parity/Periodicity to move the pro…

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