How Do You Determine Values of a Periodic Function with Limited Data?

In summary, the conversation is about finding the maximum and minimum values for the depth of water and predicting the values of a periodic function based on given information. However, not enough information is given to accurately predict the values.
  • #1
Veronica_Oles
142
3

Homework Statement


Find maximum and minimum values for the depth of h of the water
If a periodic function has f(2) = 1 and f(5) = 0 predict what f(8) , f(-10), and f(11) will be.[/B]

Homework Equations

The Attempt at a Solution


f(8) = (6+2)
= f(2)
= 1

f(-10) = (-6-6+2)
=f(2)
=1

f(11) = (6+5)
=f(5)
=0

I have the answers, I just am having difficulty figuring out why this occurs.
 
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  • #2
Veronica_Oles said:

Homework Statement


Find maximum and minimum values for the depth of h of the water
If a periodic function has f(2) = 1 and f(5) = 0 predict what f(8) , f(-10), and f(11) will be.[/B]

Homework Equations

The Attempt at a Solution


f(8) = (6+2)
= f(2)
= 1

f(-10) = (-6-6+2)
=f(2)
=1

f(11) = (6+5)
=f(5)
=0

I have the answers, I just am having difficulty figuring out why this occurs.

"Find maximum and minimum values for the depth of h of the water"
Please disregard this part.
 
  • #3
Veronica_Oles said:

Homework Statement


Find maximum and minimum values for the depth of h of the water
If a periodic function has f(2) = 1 and f(5) = 0 predict what f(8) , f(-10), and f(11) will be.[/B]
Not enough information is given.

Do you know the period ?
 

Related to How Do You Determine Values of a Periodic Function with Limited Data?

1. What is periodic behavior?

Periodic behavior refers to a pattern or repetition that occurs at regular intervals. This can be seen in many natural phenomena, such as the changing of seasons or the phases of the moon.

2. How is periodic behavior modeled?

Periodic behavior can be modeled using mathematical functions, such as sine or cosine waves. These functions can be used to represent the repeating pattern of the behavior.

3. What is the importance of modeling periodic behavior?

Modeling periodic behavior allows us to better understand and predict natural phenomena, as well as design and improve technologies that rely on these patterns. It also helps us identify any anomalies or changes in the behavior.

4. What are some real-life examples of periodic behavior?

Some common examples of periodic behavior include the tides, the beating of a heart, the swinging of a pendulum, and the rotation of planets around the sun. Other examples include the rise and fall of stock prices and the seasonal migration of animals.

5. How can we use modeling of periodic behavior in practical applications?

Modeling periodic behavior has practical applications in various fields, such as meteorology, economics, and engineering. For example, weather forecasting uses periodic behavior of atmospheric patterns to predict future weather conditions. In economics, the stock market can be modeled using periodic behavior to analyze trends and make investment decisions. In engineering, understanding the periodic behavior of materials can help in designing stronger and more durable structures.

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