Precalculus: Graphical, Numerical, Algebraic (Demana, Waits, et al.), probably the most popular high school precalculus textbook, contains a section titled "12 basic functions". I think the lesson provides a great overview of function theory and leaves plenty of room for discussion. When teaching the lesson, I have students make a small flip book with the graphs of the parent functions on one side and the name and facts on the other. Later, I let them use these books when we study transformations.
Above I've included an animated gif on top and a simple graphic on bottom. I've been really surprised that adding the slightest bit of animation to Smart board presentations makes a huge difference in captivating the class. I based the graphic (loosely) on this recent graphic created for the Dave Matthews band.
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