3.1 Periodic Phenomena

What is a periodic relationship?

• A relationship where output values increase without repeating

• A relationship where output values decrease over time

• A relationship based solely on mathematical equations without real-world applications

• A relationship where output values demonstrate a repeating pattern over successive equal length intervals

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CCSS.HSF-LE.A.1B

What is another word used to describe a periodic relationship?

• Linear

• Quadratic

• Cyclical

• Exponential

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CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which of the following is an example of a periodic phenomenon?

• The phases of the moon

• The growth of a plant

• The melting of ice

• The boiling of water

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CCSS.HSF.TF.B.5

What does the period of a function represent?

• The distance between two peaks of the function

• The minimum value the function can reach

• The maximum value the function can reach

• The smallest change in X values it takes for the function to repeat itself

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CCSS.HSF.TF.A.4

How can you identify the period of a function just by looking at it?

• By finding the highest value of the function

• By calculating the average of all X values

• By finding a common place in each cycle of the graph and measuring the distance between them

• By determining the slope of the function

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CCSS.HSF.TF.A.4

What is the period of a function that repeats every 8 units?

• 16

• 8

• 12

• 4

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CCSS.HSF.TF.A.4

If a function is increasing from 18 to 20, what can be said about its behavior?

• It is at a maximum at 20

• It is decreasing

• It is increasing

• It remains constant

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What does it mean if a function is concave down from 31 to 33?

• It is at its maximum value

• It is linear

• It is opening downwards

• It is opening upwards

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What characteristic of periodic functions allows them to repeat over intervals?

• Their cyclical nature

• Their ability to decrease over time

• Their constant value

• Their linear progression

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CCSS.HSF.TF.A.4

What is the period of a function that has a cycle completing every 4 units?

• 8

• 6

• 4

• 2

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CCSS.HSF.TF.A.4