Identify the Reflections, Period and Domain of the Cotangent Function

Identify the Reflections, Period and Domain of the Cotangent Function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the reflection of functions on the X-axis, horizontal compression, and its impact on trigonometric functions' periods. It explains how the period changes for sine, cosine, tangent, and cotangent functions. The tutorial also guides identifying asymptotes for cotangent graphs, emphasizing the changes in domain and period when the period is divided by three.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to a function when you multiply by a negative number on the outside?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the effect of multiplying by a number larger than one inside a function.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does horizontal compression affect the period of trigonometric functions?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Where do asymptotes occur for the regular cotangent graph?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the new location of the asymptotes when the period is changed to π/3?

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