Free-Range Functions

This activity challenges students to strengthen their ideas about range. Many students who can correctly indicate the range of, say, `y=x^{2}` using formal mathematical notation may still cling to some mistaken ideas. For example, students commonly say that `\pi` is not in the range of `y=x^{2}` because they cannot think of a number that, when squared, gives `\pi`. For more details and discussion about the background of this activity, see this blog post: https://christopherdanielson.wordpress.com/2013/09/25/college-algebra-teachers-please-try-this-and-report-back/ French translation courtesy of Fred Ouellet: https://teacher.desmos.com/activitybuilder/custom/5925ae98fa69a60f2ae0036c

By Desmos _