Graphing and evaluating piecewise functions

Graphing and evaluating piecewise functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers piecewise functions, including their notation, graphing, evaluation, and continuity. It explains how to graph piecewise functions with domain constraints, evaluate them at specific points, and determine the value of K for continuity. The tutorial also addresses common student mistakes and provides an algebraic method for finding K. The session concludes with a recap and a Q&A segment.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is a piecewise function and how is it represented?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the transformations that occur when shifting a parent graph.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the domain and range of a piecewise function?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to evaluate a piecewise function at a given point.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you identify discontinuities in piecewise functions?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the value K in making a piecewise function continuous?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps would you take to graph a piecewise function?

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