Intro to Equations of Exponential Functions

Front

What is an exponential function?

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Front

What does the base in an exponential function represent?

Back

The base in an exponential function represents the growth factor. If the base is greater than 1, the function represents exponential growth. If the base is between 0 and 1, it represents exponential decay.

Tags

CCSS.HSF-IF.C.8B

Front

How do you identify the growth factor in an exponential function?

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential growth equation?

Back

Front

What is the initial value in an exponential function?

Back

Front

How do you write an exponential function that starts at a specific value?

Back

Tags

CCSS.HSF.LE.A.2

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. In exponential growth, the rate of increase itself grows over time.

Front

How can you determine if a function is exponential from a table of values?

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If the ratio of consecutive outputs (y-values) is constant, the function is exponential. For example, if the values double or triple consistently, it indicates exponential growth.

Tags

CCSS.HSF-LE.A.1A

Front

What is the standard form of an exponential function?

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Tags

CCSS.HSF.LE.A.2

Front

How do you find the equation of an exponential function from a word problem?

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Tags

CCSS.HSF.LE.A.2