Evaluating Limits with Piecewise Functions

The video tutorial covers piecewise functions, focusing on calculating limits as X approaches specific values from both sides. It explains how to determine the value of a function at a given point and discusses the conditions for continuity. The tutorial includes examples of piecewise functions and demonstrates how to find a constant that ensures continuity.

What is the limit of f(x) as x approaches 2 from the left?

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Tags

CCSS.HSF.IF.A.2

What is the limit of f(x) as x approaches 2 from the right?

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Tags

CCSS.HSF.IF.A.2

What is the value of f(2)?

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What is the limit of f(x) as x approaches 4 from the left?

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Tags

CCSS.HSF.IF.A.2

What is the limit of f(x) as x approaches 4 from the right?

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Tags

CCSS.HSF.IF.A.2

What is the value of f(4)?

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What is the limit of f(x) as x approaches 1 from the left?

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What is the limit of f(x) as x approaches 1 from the right?

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Tags

CCSS.HSF.IF.A.2

What is the value of f(1)?

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Tags

CCSS.HSF-IF.C.7B

What is the value of the constant c that makes the function continuous at x=2?

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Tags

CCSS.HSF-IF.C.7B