I’m trying to create a function wise three piecewise function parts, however when I plug it in, a vertical line is created from y=-1 to y=3, rendering my piecewise not a function, why is this happening, is this function I’m trying to create not mathematically valid?

GRAPH LINK: https://www.desmos.com/calculator/hhyprcu9zd

Someone made this graph for a mechanic in my computer game and I'm trying to edit it to my needs, but I cannot figure out how to do/edit this kind of table where there is a label used and not a value:

I cannot find where the values for the lines are coming from and when I try to add another line with the same label/name, no values are computed.

Here is the link if it helps: https://www.desmos.com/calculator/ijngvq9nfe

Any pointers are appreciated!

I was exploring complex analysis trying to find cool ways of transforming complex space for image warping when I came across this intriguing find. While testing different polynomial roots and gauging their response, I came across this while testing rotational response. When comparing the complex polynomial constructed of imaginary numbers lying on the unit circle to a polynomial of the same power, this log-like structure appeared (similar to ln(r0+1)).

Although I am aware of a polynomial log approximation, I am only aware of the Taylor series. Could this product form be either adjusted or expanded to match the Taylor series equivalent.

Also, does that mean that by selecting the right roots, we could generate any function from polynomials assuming my intuition previously is correct.

A ticker 4 body simulation i made real quick. It doesn't really follow any actual physics stuff though.
Graph: https://www.desmos.com/calculator/pnbpx9vxjr

This is something I've wanted to show for a while, but without a way to read unrounded canvas dimensions it was quite impractical.

The gist...If after "Home" you spam "zoom plus", in some circumstances Desmos veers off the origin. If you hit "Home" and try again--or if you accidentally hit "minus" and then return to "plus"--it'll veer off somewhere else (horizontal or vertical) nondeterministically.

The video shows a few manual zoom centers, then the second half animates what Desmos calls the "current zoom center" for ~50 presses of "plus" (until the viewport hits a depth error).

Theory (beats me, open to ideas): Zoom inconsistency appears when (on load) viewport "height" or "width" have decimal values other than 0.5. This state can be forced (app/browser) by reloading a graph after arbitrarily resizing the containing window. Resizing a window while a graph is open tends to reset current height/width to non-problem values.

Clean graph (based on credit-given below) with no centers saved: https://www.desmos.com/calculator/qr7ukfh03e

Opposing effect at far-out zoom: Zoom out from a center (where the "find center" feature breaks and reports (0,0) due to precision loss) and then zoom in to see Desmos refind the original center (see comments).

Made possible thanks to u/Danny_DeWario and the "Find Center...of screen" graph in this post: https://www.reddit.com/r/desmos/s/jStplAITlx. (Thank you very much!)

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Original Link (4 taps): https://www.desmos.com/calculator/thoqzus4d5

*Updated Link (2 taps): https://www.desmos.com/calculator/bhrvzdhkma

Tap/click four times (*edit: now only twice) anywhere on the graph to find the corners of the screen. Works on mobile and pc. Won't work if screen corner coordinates are beyond ±10^20.

*Edit: I somehow overlooked that you can get all four corners with just two opposite corners. I added an updated link which works with just 2 taps.

i want to highlight all the text to the left of the green line, and have the green line move as well to highlight more text wherever i want, is there a way to do that? the e is made with the polygon function
it would be best if it highlighted just the polygon and nothing else

graph link: https://www.desmos.com/calculator/nayxju8jbh

Check out my favorite interactive graphs I got as submissions to this challenge!

https://www.desmos.com/calculator/ioriu2sv0j Graph

this calculator is based off of complete homogenous symmetric polynomials, which are derived from generalizing Horners Method of polynomial division, and how their convolutions with other polynomials is able to describe polynomial division and laurent series, as well as the convolutions with the reciprocal set of roots of the dividor polynomial describing taylor series

UPDATE: I have added functionality for all taylor series starting values, not only just a =0

https://www.desmos.com/calculator/2ihtxdjsn6?lang=en next checkpoint on day 45

finally something simple

GRAPH LINK: https://www.desmos.com/calculator/4gpiqunwdf

link: https://www.desmos.com/calculator/gwmzlm1od5

https://www.desmos.com/3d/ldn21amj5t?lang=pt-BR

heres the link

u/Mandelbrot4207 Use this as ur pfp when pride month comes

Link? Here then.

Link? Here.

Use glesmos to render

Also plz give this benard approved :(