Imagine that you are an artist. Functions are your medium and the coordinate plane is your canvas.[br][br][img]https://vondesmos.files.wordpress.com/2016/02/gifsmos.gif[/img][br][br]I'd like you to focus on using a broad range of functions (and even non-functions) purposefully. Try to include the different types of algebraic and transcendental functions that we've talked about so far. [br][br]Some helpful hints:[br][br]1. Graphing functions on restricted domains / ranges will be important. You can do this by adding a restriction in an "if" statement.[br][br][*]2. Adding some animation via sliders can liven things up. It also shows off your knowledge of function transformations! You can make a new slider by typing something like "b=4" into a new cell and then editing it's properties from there. Then, just use the letter b somewhere in your functions. [br][br]3. You can "color things in" if you'd like by using inequalities.[br][/*][*][br][/*][*]As you work, I hope that you will[/*][list][*]Gain experience in utilizing Geogebra (as it will be a helpful learning tool throughout this course), [/*][*]Apply your knowledge of functions in a creative pursuit, and [/*][*]Collaborate and support the learning of others around you.[/*][/list][br]More ideas here: [url=https://www.geogebra.org/m/yk7cacnq]https://www.geogebra.org/m/yk7cacnq[/url]
When we share, either at the end of class today or sometime tomorrow, I'll ask you the following questions: [br][br]1. What was your favorite use of an algebraic function in your art?[br][br]2. What was your favorite transcendental function?[br][br]3. How did you incorporate function transformations into your artwork?[br][br]