Jesse wants to write a function to represent the graph. He says that the period of the graph is triple that of sin x and that the equation of the graph is f(x)=3sin x. Why is he incorrect?
a. The period of the graph is twice that of sin x.
b. The frequency of the graph is triple that of sin x.
c. The equation of the graph should be f(x)=sin x/3.
d. The equation of the graph should be f(x)=3sin x.

Jesse wants to write a function to represent the graph He says that the period of the graph is triple that of sin x and that the equation of the graph is fx3sin class=

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Answer C

the value of sin(pi/2) =1

the value of sin(pi) = 0

according to the graph sin(3pi/2) = 1 and sin(3pi) =0

so the correct equation for the graph must be f(x) = sin(x/3)

Jesse is incorrect, because the equation of the graph should be [tex]f(x) = \sin(\frac{x}{3})[/tex]

From the question, we understand that the period is 3 times sin x.

The above claim is wrong.

Given that, the period (B) is 3.

i.e B = 3

The function is represented as:

[tex]f(x) = \sin(\frac{2\pi}{B})[/tex]

So, we have:

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

Represent [tex]2\pi[/tex] with x

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

Hence, the equation of the graph should be [tex]f(x) = \sin(\frac{x}{3})[/tex]

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