Respuesta :

QUESTION 1

The first function is
[tex]y = \sin(4x) [/tex]
A function of the form
[tex]y = A \sin(Bx) [/tex]

has amplitude equal to

[tex] |A| [/tex]


The amplitude of
[tex]y = \sin(4x) [/tex]

is

[tex]1[/tex]


QUESTION 2


The given function is

[tex]y = 4 \cos(x) [/tex]

A trigonometric function of the form
[tex]y = A \cos(Bx) [/tex]


also has an amplitude of
[tex] |A| [/tex]

The amplitude of
[tex]y = 4 \cos(x) [/tex]

is

[tex]4[/tex]


QUESTION 3

The given trigonometric function is

[tex]y = 3 \sin( \frac{2}{3} x) [/tex]

The amplitude of this trigonometric function is

[tex]3[/tex]

QUESTION 4.

The given trigonometric function is

[tex]y = 3 \cos(x) [/tex]


The amplitude of this cosine function is
[tex]3[/tex]