Graphs of Growth and Decay

Exponential Growth   \(f(x)=2^x\)

Exponential Decay   \(f(x)= \left( \Large \frac{1}{2} \right) ^x\)

The graphs above are examples of an Exponential Growth function and an Exponential Decay function.  What do you notice about the two graphs? How are they alike/different? Graphs are created using Desmos.com.

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Click on the link for the Exponential Graphs by Desmos and explore the changes made by  sliding the slider for various values of \(a\) and \(b\). Describe in words the effect of changing \(a\) and \(b\) on the shape of the graph.

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Go to Watch (Comparing Exponential Growth and Decay)