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A sinusoidal function whose period is π2, maximum value is 10, and minimum value is −4  has a y-intercept of 10.

What is the equation of the function described?

 

f(x)=7sin(4πx)+3

f(x)=7cos(4x)+3

f(x)=7sin(4x)+3

f(x)=7cos(4πx)+3

 Jun 6, 2022
 #1
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We have the form

 

f(x)  =  Acos(Bx + C) + D

 

A = the amplitude  =   (10 -  -4) / 2 =  14 / 2  =  7

B=    (2pi)  / the period     =  (2pi) / ( pi/2 ) =  4

C =  the phase shift =  there is none

D =   the midline  =  (10  - 4) / 2  =  6/2  = 3

 

So....our function is

 

f(x)  = 7cos (4x) + 3

 

See here :  https://www.desmos.com/calculator/ffmw4ugln0

 

 

cool cool cool

 Jun 6, 2022
 #2
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Thank you!!

Guest Jun 6, 2022

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