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

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To determine values of a periodic function with limited data, the periodicity must be established. Given f(2) = 1 and f(5) = 0, predictions for f(8), f(-10), and f(11) rely on the function's period. The calculations suggest f(8) and f(-10) both equal 1, while f(11) equals 0, indicating a repeating pattern. However, without knowing the period, the reasoning behind these predictions remains unclear. Understanding the period is crucial for accurately determining the function's values.
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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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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.
 
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 ?
 
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