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Answer:
Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period = , Frequency
, equation :
Step-by-step explanation:
<u>Sinusoid Functions</u>
It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.
The graph shown can give us all the information we need to answer these questions:
Maximum: 1
Minimum: -3
The midline goes through the center value (mean) of the max and min values, i.e.
Equation of the midline:
Amplitude is the difference between the maximum and minimum values
The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at
Thus the period is
The frequency is the reciprocal of the period:
The angular frequency is
The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters: