inverse function command

[jonmoore]

(08-03-2022 04:19 PM)Albert Chan Wrote:  

(08-02-2022 12:22 PM)jonmoore Wrote:  What the OP was asking for, is an equivalent of the DrInv command on the TI-86

I think OP was asking more than a pretty picture, but actual inverse function.

Drawing it is easy, even without "DrInv" command.
Just plot -f(x), then turn the plot anti-clockwise 90°

It's so easy that it wasn't possible on the 48GX without a bespoke program that relied on parametric plotting!

The inverse of a function algebraicly ends is just the same. The graphical representation ends up plotting the y values on the x axis and the x values on the y axis. That's why it's such a useful insight for students studying precalculus.

Here's a Desmos example (and don't forget we're talking about high school students here).

https://www.desmos.com/calculator/oxmgrvftez

Things of course become more complicated as the complexity of the functions increases (complex functions obviously don't play nicely on the cartesian plane).

BTW it's not a -45 degree rotation, it's a reflection.