Define increasing function.
Understand the Problem
The question is asking for the definition of an increasing function, which involves explaining a mathematical concept related to the behavior of functions on their domains.
Answer
An increasing function is one where the function's value increases as the input value increases.
An increasing function is one where the function's value increases as the input value increases.
Answer for screen readers
An increasing function is one where the function's value increases as the input value increases.
More Information
When a function is always increasing and never remains constant or decreases, it is called a strictly increasing function.
Tips
A common mistake is confusing increasing functions with strictly increasing functions, as strictly increasing functions do not allow for any plateau.
Sources
- Increasing Function -- from Wolfram MathWorld - mathworld.wolfram.com
- Increasing Function Definition & Example - Study.com - study.com
- Increasing and Decreasing Functions in Calculus - BYJU'S - byjus.com
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