Evaluating the limit of piecewise functions

Evaluating the limit of piecewise functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate limits for piecewise functions, focusing on a specific example where a function has a hole at X = 1. The instructor demonstrates how to visualize the graph of the function, which is a parabola with a shift, and explains the concept of a hole in the graph. The tutorial emphasizes understanding the limit as X approaches the hole and determining the function's value at that point. The lesson concludes with a summary of the graphical approach to evaluating limits.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the graph of the function look like?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the behavior of the graph at X = 1.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the hole in the graph at X = 1?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of the function at F of one?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to determine the limit as X approaches one.

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