Life is not all about solving problems, high school life even less so.
Personally, I found great enjoyment in coming up with more and more involved plots in the Polar and Parametric modes, where yes I would predict what a graph would look like and then go over to see it. And then go back and iterate. Etc. Until I was painting pictures with functions and had a far greater understanding of the domain than I’d wager anyone who thinks graphing calculations are for finding roots of polynomials could imagine.
Personally, I found great enjoyment in coming up with more and more involved plots in the Polar and Parametric modes, where yes I would predict what a graph would look like and then go over to see it. And then go back and iterate. Etc. Until I was painting pictures with functions and had a far greater understanding of the domain than I’d wager anyone who thinks graphing calculations are for finding roots of polynomials could imagine.