A welcomed clarification to function notation. This idea stumped many of my classmates during both my undergraduate and graduate courses. Much better than having to resort to f(x_1) to make clear the reference to a single output. Don’t get me wrong, students should still be comfortable with x_1, x_2, ….x_n inputs in the correct context and while reading textbooks.
With this change in mind, would the example task change?
Page 8, Cell Phones
Let f be the number of people….
Notation should be used to improve communication to all students and not be an esoteric rite of passage. I’m not that worried about job security.