Identifying Exponential Models from Tables

Identifying Exponential Models from Tables

Explore how repeated multiplication generates exponential growth or decay in tables of values. Recognize growth factors by comparing outputs.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

A table of values for a function contains two consecutive values of and the corresponding values of . Is this data enough to decide whether the table represents an exponential growth or decay function? If not, what is the minimum number of data pairs that you need?

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Open-ended question 2

A table of values representing the ordered pairs , where , shows that as increases by 1, is multiplied by 3.14. Can you classify this function as an exponential one? If so, write a possible equation for this function, using a form that shows the growth or decay factor.

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