monotonically increasing

Chinese equivalent: 单调递增

monotonically increasing A function is monotonically increasing on an interval if f(x₁) ≤ f(x₂) whenever x₁ < x₂ for all x₁, x₂ in that interval.

Syllabus path: Functions › Concepts and Properties of Functions › Graph of a Function

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CSCA Mathematics Exam Glossary

Definition

monotonically increasing A function is monotonically increasing on an interval if f(x₁) ≤ f(x₂) whenever x₁ < x₂ for all x₁, x₂ in that interval.

Related tutorial and examples

Graph of a Function

Graph of a Function 1. Concept The Graph of a function is the visual representation of the relationship y = f(x) on a coordinate plane. Visualizing the graph helps identify key properties: Domain/Range: The extent along the x and y axes. Monotonicity: Where the graph rises or fal…

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