Finding the Period and Amplitude of a Graph

Finding the Period and Amplitude of a Graph

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the period and amplitude of a function. It begins by defining amplitude as the absolute value of the coefficient 'a' in the function's general form. The teacher demonstrates this with an example, showing that the amplitude is 3. The concept of absolute value is emphasized, especially when dealing with negative numbers. The tutorial then shifts to the period, defined as 2π divided by the coefficient 'B'. An example is provided where B is 2, resulting in a period of π. The importance of understanding these concepts for graphing is highlighted.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the definition of amplitude in the context of the function discussed?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the amplitude from the function's general form?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for calculating the period of a function?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the value of B affects the period of the function.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of being able to find the period and amplitude when graphing a function?

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