Boundness of a function from a graph

Boundness of a function from a graph

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of boundedness in graphs, focusing on how graphs can be restricted in terms of their height. It discusses the idea of absolute maximum, where a graph is restricted on how high it can go, and introduces the concept of unboundedness, where a graph can extend indefinitely in one direction. The tutorial further explores examples of graphs that are bounded above, bounded below, or both, using quadratic and cubic graphs as illustrations. The key takeaway is understanding the restrictions on a graph's height and how these define its boundedness.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the implications of a graph being restricted in height?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a graph to be bounded above?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does a quadratic graph demonstrate boundedness?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Can you explain the concept of unboundedness in relation to a graph?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

In what ways can a graph be described as bounded?

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