Exponential Functions

Front

What is an exponential function?

Back

Front

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

Back

The base 'b' represents the growth factor. If b > 1, the function represents exponential growth; if 0 < b < 1, it represents exponential decay.

Front

What is the general form of an exponential function?

Back

Front

What is the y-intercept of an exponential function?

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Front

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

Back

An exponential function can be identified if the ratio of consecutive outputs (y-values) is constant when the inputs (x-values) are increased by the same amount.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant factor.

Front

Back

The 'a' represents the initial value or the y-intercept of the function.

Front

What is the slope in the context of an exponential function?

Back

Exponential functions do not have a constant slope; the slope changes at different points along the curve.

Front

What is the domain of an exponential function?

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Front

What is the range of an exponential function?

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