xiphoidx
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Micah
has been following stock ratings. He is keeping his eye on Sam's Pork
Bellies, and the pattern can be modeled by a sine function. He has found
it to have a maximum of 3, minimum of −5, and period of 2π. Which of
the following sine functions could model Micah's stock rating?


Sagot :

Answer:

The required function is f(x)=4sinx-1.

Step-by-step explanation:

The standard sine function is defined as

[tex]f(x)=a\sin(b(x+c))+d[/tex]                    ....(1)

Where a is amplitude, period is [tex]\frac{2\pi }{b}[/tex], c is phase shift and d is midline.

It is given that the maximum value is 3 and the minimum value is -5. Amplitude is half of difference between minimum and maximum.

[tex]a=\frac{3-(-5)}{2}=4[/tex]

The value of a is 4.

The period is 2π.

[tex]\frac{2\pi}{b}=2\pi[/tex]

[tex]b=1[/tex]

Midline is average of maximum and minimum.

[tex]d=\frac{3-5}{2}=-1[/tex]

Substitute a=4, b=1, c=0 and d=1 in equation (1).

[tex]f(x)=4\sin(x)-1[/tex]

Therefore the required function is f(x)=4sinx-1.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.