Writing Exponential Functions from Tables & Graphs

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What is an exponential function?

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Front

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

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To identify an exponential function from a table, look for a constant ratio between consecutive outputs when the inputs are equally spaced.

Front

What does the base of an exponential function represent?

Back

The base of an exponential function indicates the growth (if > 1) or decay (if < 1) rate of the function.

Front

What is the general form of an exponential function?

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Front

How can you determine the initial value of an exponential function from a graph?

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Front

What is the significance of the y-intercept in an exponential function?

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Front

How do you write an exponential function from a graph?

Back

To write an exponential function from a graph, identify the y-intercept and the base by observing the growth or decay pattern.

Front

What is the difference between growth and decay in exponential functions?

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Front

How do you find the equation of an exponential function from a set of points?

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To find the equation, use the points to determine the initial value and the base by solving the equations formed by the points.

Front

What is the formula for exponential decay?

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