AnswersPre Calculus AGraphing Sine and Cosine Functions

Graphing Sine and Cosine Functions Answers

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Which equation matches this description?

A
y = cosine (negative one-third x)
Option A
B
y = cosine (negative 3 x)
Option B
C
y = negative cosine (one-third x)
Option C
D
y = negative cosine (3 x)
Option D
3

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4

Which of the following statements are true? Check all that apply.

A
The graph is symmetric about the y-axis.
B
The function decreases on the interval (0, 4π).
C
The frequency is .
Option C
D
The graph is compressed horizontally by a factor of
Option D
E
The graph has x-intercepts at x = 2π and x = 6π.
5

The function represented by the table has the form y = acos(bx). Which of the following statements are true? Check all that apply.

A
The function increases on the interval (π, 2π).
B
The graph is compressed horizontally by a factor of
Option B
C
The frequency is
Option C
D
The maximum value of the function is 6.
E
The period is π.
6

Which of the following statements are true? Check all that apply.

A
The amplitude is 10.
B
The graph is stretched vertically by a factor of 5.
C
The frequency is .
Option C
D
The graph is stretched horizontally by a factor of 2.
E
The period is 4π.

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