Writing Exponential Functions from Tables

Front

What is an exponential function?

Back

Front

What does the base of an exponential function represent?

Back

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 changed by equal increments.

Front

What is the general form of an exponential decay function?

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Front

What is the general form of an exponential growth function?

Back

Front

How do you write an exponential function from a given table?

Back

To write an exponential function from a table, identify the initial value (y-intercept) and the base by determining the constant ratio of the outputs.

Front

What is the y-intercept in an exponential function?

Back

Front

What does it mean if an exponential function has a base less than 1?

Back

If an exponential function has a base less than 1, it indicates that the function is decreasing, representing exponential decay.

Front

How can you convert an exponential function to a different base?

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Front

What is the significance of the constant 'a' in an exponential function?

Back

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