inverse function command
08-03-2022, 05:26 PM (This post was last modified: 08-03-2022 05:33 PM by jonmoore.)
Post: #17
 jonmoore Senior Member Posts: 309 Joined: Apr 2020
RE: inverse function command
(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.
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 Messages In This Thread inverse function command - DrD - 10-07-2017, 04:20 PM RE: inverse function command - Joe Horn - 10-07-2017, 06:53 PM RE: inverse function command - DrD - 10-07-2017, 08:24 PM RE: inverse function command - Joe Horn - 10-08-2017, 12:21 AM RE: inverse function command - DrD - 10-08-2017, 01:11 AM RE: inverse function command - Joe Horn - 10-08-2017, 02:35 AM RE: inverse function command - DrD - 10-08-2017, 04:07 AM RE: inverse function command - DrD - 10-08-2017, 04:18 AM RE: inverse function command - parisse - 10-08-2017, 06:33 AM RE: inverse function command - DrD - 10-08-2017, 10:09 AM RE: inverse function command - parisse - 10-08-2017, 12:07 PM RE: inverse function command - DrD - 10-08-2017, 01:02 PM RE: inverse function command - Joe Horn - 10-08-2017, 01:32 PM RE: inverse function command - DrD - 10-08-2017, 01:41 PM RE: inverse function command - jonmoore - 08-02-2022, 12:22 PM RE: inverse function command - Albert Chan - 08-03-2022, 04:19 PM RE: inverse function command - jonmoore - 08-03-2022 05:26 PM RE: inverse function command - Albert Chan - 08-03-2022, 06:20 PM RE: inverse function command - jonmoore - 08-03-2022, 08:35 PM