smooth joystick coordinate scaling

[Jonny999999]

Scale coordinates of joystick to have more precision (joystick travel) at slower speeds.
Currently implemented with linear scaling (see below), however this currently results in a weird/unexpected acceleration at the rapid change of scaling.
=> find a better way to scale the coordinates

already tried

exponential scaling

first tried with exponential scaling: 1c6586c
=> smooth but some some area with almost no output change at start

linear scaling

then linear scaling with switching point: b460a52
=> can be adjusted precisely but the point it switches to the other slope is very hard/noticeable while driving

ideas

Bezier curve??

have a function that represents the desired scaling curve
example: https://www.desmos.com/calculator/cahqdxeshd