continuous function on a closed interval
Chinese equivalent: 闭区间上的连续函数
continuous function on a closed interval A function continuous on a closed interval [a, b] must attain its maximum and minimum on that interval.
Syllabus path: Functions › Concepts and Properties of Functions › Maximum and Minimum Values of a Function
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CSCA Mathematics Exam Glossary
Definition
continuous function on a closed interval A function continuous on a closed interval [a, b] must attain its maximum and minimum on that interval.
Related tutorial and examples
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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