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?
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OpenStudy (anonymous):
?
OpenStudy (sidsiddhartha):
max=3 and min=-5 ?
OpenStudy (anonymous):
f(x) = 4 sin x − 1
f(x) = 2 sin x − 5
f(x) = 4 sin 2x − 1
f(x) = 3 sin 2x − 5
those are the answers i was thinking d
OpenStudy (anonymous):
is that right?
OpenStudy (sidsiddhartha):
are u sure about the max and min
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OpenStudy (anonymous):
im pretty sure.. bc it says it in the sentence
OpenStudy (sidsiddhartha):
yeah ok
OpenStudy (anonymous):
so was i rigt? d?
OpenStudy (anonymous):
i right*
OpenStudy (sidsiddhartha):
yeah so i think f(x) = 4 sin x − 1
because amplitude =avrg(5+3)=4
and let the function
f(x)=asin(bx)
so 2pi=2pi/b
b=1
and a=4
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OpenStudy (anonymous):
what?
OpenStudy (anonymous):
sorry im not good with trig...
OpenStudy (anonymous):
like i dont understand if youre saying that 4sin x - 1 is the answer or if youre saying it isnt
OpenStudy (anonymous):
oh wait it is the answer bc the average is the 4!
OpenStudy (anonymous):
right?
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OpenStudy (sidsiddhartha):
in the general form
f(x)=asin(bx)+c
here amplitude, a=4 and b=1andc=-1 that leads
f(x)=4sinx-1
thats ur answer