SOLUTION: A scientist records the motion of a particle. A graph of that motion is shown below. https://gyazo.com/d96d74bf8c09573b8937cfbde8c45868 a) What is the period of one complete c

Algebra ->  Rational-functions -> SOLUTION: A scientist records the motion of a particle. A graph of that motion is shown below. https://gyazo.com/d96d74bf8c09573b8937cfbde8c45868 a) What is the period of one complete c      Log On


   



Question 1140821: A scientist records the motion of a particle. A graph of that motion is shown below.
https://gyazo.com/d96d74bf8c09573b8937cfbde8c45868
a) What is the period of one complete cycle?
b) What is the range of this function?
c) If the particle can survive for twenty complete cycles before deteriorating, determine the domain of the function.
d) Determine the equation of the axis.
e) Determine the amplitude.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A scientist records the motion of a particle. A graph of that motion is shown below.
https://gyazo.com/d96d74bf8c09573b8937cfbde8c45868
a) What is the period of one complete cycle?
That's redundant. "What is the period?" should be the question.
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The period is the time for one cycle. Look at the graph. There's a max at x=0, and at x = 4.
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b) What is the range of this function?
It's the distance between the max and the min.
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c) If the particle can survive for twenty complete cycles before deteriorating, determine the domain of the function.
20 times the period.
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d) Determine the equation of the axis.
It's the midline between the max and the min.
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e) Determine the amplitude.
A = (max - min)/2
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If you don't know any of these, you're in the wrong class.