Exponential Growth and Decay

Front

What is Exponential Growth?

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is Exponential Decay?

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential function?

Back

Front

How can you identify an exponential function from a table of values?

Back

An exponential function will show a constant ratio between consecutive outputs (y-values) when the inputs (x-values) are equally spaced.

Tags

CCSS.HSF-LE.A.1A

Front

What is the difference between linear and exponential growth?

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Linear growth increases by a constant amount, while exponential growth increases by a constant percentage, leading to much larger values over time.

Front

What does the base 'b' represent in an exponential function?

Back

The base 'b' in an exponential function determines the growth or decay rate. If b > 1, it represents growth; if 0 < b < 1, it represents decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the value of 'r' in the exponential growth formula?

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is the value of 'r' in the exponential decay formula?

Back

Tags

CCSS.HSF-IF.C.8B

Front

How do you convert a percentage growth rate to a decimal?

Back

To convert a percentage growth rate to a decimal, divide the percentage by 100. For example, a 5% growth rate becomes 0.05.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for continuous exponential growth?

Back

Tags

CCSS.HSF-IF.C.8B