Are endpoints of a graph discontinuities?

Are endpoints of a graph discontinuities?

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of continuous and discontinuous graphs, focusing on how to identify and categorize discontinuities. It covers removable discontinuities, such as holes, and non-removable ones, like jump discontinuities and vertical asymptotes. The tutorial also discusses how these discontinuities affect the domain of a function and provides guidance on labeling them correctly.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a graph to be continuous, and how can you identify discontinuities?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the difference between removable and non-removable discontinuities?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can a hole in a graph be represented in terms of continuity?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain what a jump discontinuity is and provide an example.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the significance of vertical asymptotes in relation to the domain of a graph.

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