Finding the amplitude and period for a given graph

Finding the amplitude and period for a given graph

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to find the amplitude and period of cosine functions. It introduces the basic rules for amplitude and period, describes the components of a cosine function, and demonstrates how to determine the values of A and B. The tutorial also provides a step-by-step guide to calculating the period, emphasizing the importance of understanding fractions and multiplication. The session concludes with a summary and addresses any questions from the audience.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

B times 2π

B divided by 2π

2π divided by B

2π times B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a cosine function, what does the 'a' value represent?

The frequency of the function

The period of the function

The phase shift of the function

The amplitude of the function

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the 'B' value in a cosine function?

It is the coefficient of the cosine term

It is the constant subtracted from the function

It is the coefficient of the variable 'x'

It is the constant added to the function

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of a function if B equals π/2?

4

2

π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the amplitude of a cosine function is 3/2, what is the absolute value of 'a'?

3

2

1/2

3/2