Definition of Maximum and Minimum of a Function
Let function f(x) be defined on interval I. If there exists x₀ ∈ I such that for all x ∈ I, f(x) ≤ f(x₀), then f(x₀) is called the maximum value of f(x) on int…
Syllabus path: Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
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CSCA Mathematics Concept & Principle Guide
Concept, principle, and explanation
Let function f(x) be defined on interval I. If there exists x₀ ∈ I such that for all x ∈ I, f(x) ≤ f(x₀), then f(x₀) is called the maximum value of f(x) on interval I, and x₀ is the maximum point. If there exists x₁ ∈ I such that for all x ∈ I, f(x) ≥ f(x₁), then f(x₁) is called the minimum value of f(x) on interval I, and x₁ is the minimum point.
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Maximum and Minimum Values of a Function
Maximum and Minimum Values of a Function 1. Concept The Maximum and Minimum Values (collectively called Global Extrema) describe the boundaries of the function's output range over its entire domain or a specific interval. Let the domain of y = f(x) be D: Maximum Value: If there e…
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