What is a relative maximum?
Understand the Problem
The question is asking for the definition of a relative maximum, which refers to a point in a function where the function's value is higher than the values at nearby points. This involves concepts from calculus and function analysis.
Answer
A point where the function value is greater than nearby points.
A relative maximum is a point on the graph of a function where the function value is greater than the values at nearby points.
Answer for screen readers
A relative maximum is a point on the graph of a function where the function value is greater than the values at nearby points.
More Information
At a relative maximum, the function changes direction from increasing to decreasing, making it a peak on the graph.
Tips
A common mistake is confusing relative maximum with absolute maximum. The relative maximum is specific to a local region, whereas the absolute maximum is the highest point over the entire domain of the function.
Sources
- Relative Maximum and Minimum - Calculus - sosmath.com
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