Certainly! Below is the transcription suitable for an educational website:---**Question 2: Which of the following is FALSE?**- [ ] All relative extrema are absolute extrema- [ ] All absolute extrema are relative extrema- [ ] An inflection point can also be a relative minimum- [ ] All of the Above- [ ] None of the Above---In this multiple-choice question, you are asked to identify the false statement among the provided options. While considering each statement, it's important to understand the difference between relative and absolute extrema, and the characteristics of inflection points in calculus.

H 2. Question Details Which of the following is FALSE? O All relative extrema are absolute extrema All absolute extrema are relative extrema An inflection point can also be a relative minimum All of the Above None of the Above Dc

H 2. Question Details Which of the following is FALSE? O All relative extrema are absolute extrema All absolute extrema are relative extrema An inflection point can also be a relative minimum All of the Above None of the Above Dc

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Expert Solution

Step 1: We have given statements

(i) All relative extrema are absolute extrema.

● False , because relative extrema are those points where local maximum or minimum occurs while absolute extrema is minimum or maximum possible value of the function. Only one relative extrema may be absolute extrema.

(ii) All absolute extrema are relative extrema.

● False, because absolute extrema is the point where function minimum or maximum value is obtained.

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