Composition of Functions

Below are sliders that help to change two functions - F(x) and G(x). Notice the changes to the shape of the function as well as the equation as you change the sliders.

We have been studying "Composition of functions" by plugging one function in for the domain of the other function. What happens to the graphs of a composition?

Use your worksheet to study the graphs of compositions.

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Jillian Maher, Created with GeoGebra