8 A Based on the graph above determine the amplitude midline

8 A Based on the graph above, determine the amplitude, midline, and period of the function Amplitude: Midline: y- Question 6. Points possible:5 This is attempt 2 of 10. Score on last attempt: to, o, oO), Score in gradebook: (0, 0, 0), Out of: (1.67, 1.67, 1.6) Find all solutions to 2 cos()--S on the interval 0

Solution

1)

maximum =1, minimum =-7

amplitude =(1-(-7))_/2

amplitude =(1+7)_/2

amplitude =8_/2

amplitude =4

period = 3-0

period =3

mid line ,y=(1+(-7))_/2

mid line ,y=(1-7)_/2

mid line ,y=(-6)_/2

mid line ,y= - 3

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2)

2cos =-3

=>cos =-3_/2

=>=(5_/6),(7_/6)

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3)

8cos(6x) =3

=>cos(6x) =3_/8

=>(6x) =cos^-1(3_/8),2-cos^-1(3_/8) ,2+cos^-1(3_/8)

=>(6x) =1.18639955,5.09678575488,7.46958486

=>x =1.18639955_/6,5.09678575488_/6,7.46958486_/6

=>x =0.1977,0.84946,1.24493

=>x =0.20,0.85,1.24