Graphs of Functions & Their Derivatives
Sarah Miller
5 min read
Study Guide Overview
This study guide covers the Candidates Test for finding global extrema of continuous functions on closed intervals. It explains the Extreme Value Theorem, critical points, and endpoints. The guide outlines the steps for applying the test, including checking for continuity, finding critical points, and evaluating the function at critical points and endpoints. It also provides a worked example, practice questions, and a glossary of key terms.
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Question 1 of 7
The Extreme Value Theorem guarantees the existence of global extrema for a function if the function is?
Differentiable on a closed interval
Continuous on an open interval
Continuous on a closed interval
Differentiable on an open interval