I recently worked with Hayden Morrell to explore function composition using equations, tables of values and graphs in the Desmos application. The domain of a function is defined as “all inputs for which the expression defining a function has a value, or for which the function makes sense in a given context” (National Governor’s Association, 2010). We discovered it is possible to use the domain of an existing function to anticipate the domain when combined with another to create a new function. Click here to read more about ourinvestigation and learn how Desmos can be used to help students discover unique relationships when building new functions from existing functions.
The Chronicles of Algebrea 