build 2 piecewise functions meeting the following constraints:

• At least 1 compound function (2 component functions must be different types, and have at least 1 transformation each)
• At least 1 composite function (inner and outer function must be different types, and have at least 1 transformation each, and not be the same types used in the compound function)
• At least 1 local max, 1 local min

Must be continuous over its domain