Exponential Growth and Decay

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What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. For example, if a population doubles every year, it is experiencing exponential growth.

Tags

CCSS.HSF-LE.A.1A

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease. For example, radioactive substances decay exponentially over time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general formula for exponential growth?

Back

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CCSS.HSF-IF.C.8B

Front

What is the general formula for exponential decay?

Back

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CCSS.HSF-IF.C.8B

Front

What does the y-intercept represent in an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

Front

How can you identify exponential growth from a graph?

Back

Exponential growth is identified on a graph by a curve that rises steeply to the right, indicating that the quantity increases rapidly over time.

Tags

CCSS.HSF-IF.C.7E

Front

How can you identify exponential decay from a graph?

Back

Exponential decay is identified on a graph by a curve that falls steeply to the right, indicating that the quantity decreases rapidly over time.

Tags

CCSS.HSF-IF.C.7E

Front

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is the sequence 2, 4, 8, 16, 32, 64 an example of?

Back

This sequence is an example of exponential growth.

Front

What is the sequence 10, 5, 2.5, 1.25 an example of?

Back

This sequence is an example of exponential decay.

Tags

CCSS.HSF.BF.A.2