Define Extrema and Boundness of Functions

Define Extrema and Boundness of Functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of extrema, including absolute and relative maxima and minima, and how they are represented on graphs. It also covers the concept of boundedness in functions, distinguishing between bounded and unbounded functions, and provides examples of each. The tutorial emphasizes understanding the context of questions related to extrema and boundedness to avoid common mistakes.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the x-value and y-value when asked about the maximum or minimum of a function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are some examples of functions that are bounded and unbounded? Provide explanations for each.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe a scenario where a function is unbounded. What does this imply about its maximum and minimum values?

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