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
+128475 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
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