Definition of Monotonically Increasing Function
For a function f(x) defined on an interval I, if for any x₁, x₂ ∈ I, when x₁ < x₂, we have f(x₁) ≤ f(x₂), then f(x) is said to be monotonically increasing on i…
Syllabus path: Functions › Concepts and Properties of Functions › Monotonicity of Functions
CSCA Exam Prep
This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
Practice related questions (8) · Start mock exam · Sign up — AI explanations · Membership plans
CSCA Mathematics Formula Reference
Formula and explanation
For a function f(x) defined on an interval I, if for any x₁, x₂ ∈ I, when x₁ < x₂, we have f(x₁) ≤ f(x₂), then f(x) is said to be monotonically increasing on interval I. If for any x₁, x₂ ∈ I, when x₁ < x₂, we have f(x₁) < f(x₂), then f(x) is said to be strictly monotonically increasing on interval I.
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…
Plan your next CSCA study step
Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.