Writing Exponential Functions from Tables & Graphs

Front

What is an exponential function?

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Front

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

Back

Look for a constant ratio between consecutive outputs (y-values) when the inputs (x-values) increase by the same amount. If the ratio is constant, the relationship is exponential.

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 growth function?

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Front

What is the general form of an exponential decay function?

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Front

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

Back

Front

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

Back

The y-intercept represents the initial value of the function, which is the value of the function when x = 0.

Front

How do you write an exponential function from a graph?

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Front

What is the difference between exponential growth and exponential decay?

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Exponential growth occurs when the base is greater than 1, leading to increasing values. Exponential decay occurs when the base is between 0 and 1, leading to decreasing values.

Front

How do you find the equation of an exponential function given a point on the graph?

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