Definition of Monotonicity of a Function
Let function f(x) be defined on interval I. If for any x₁, x₂ ∈ I, x₁ < x₂ implies f(x₁) < f(x₂), then f(x) is monotonically increasing on I. If for any x₁, x₂…
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CSCA Mathematics Formula Reference
Formula and explanation
Let function f(x) be defined on interval I. If for any x₁, x₂ ∈ I, x₁ < x₂ implies f(x₁) < f(x₂), then f(x) is monotonically increasing on I. If for any x₁, x₂ ∈ I, x₁ < x₂ implies f(x₁) > f(x₂), then f(x) is monotonically decreasing on I.
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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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