/sci/ - Science & Math

>>15161220
>>15161223
>honestly, i cant even figure out a function that satisfies the first 3
[math]x^2 + x[/math]

Basically, you want to do the following:
- [math]f'(x) = 0[/math] for [math]x \in (- \infty, b][/math], where [math]b < - a[/math]
- the first step, starting from [math]a[/math], has a large enough differential to shoot you to [math](- \infty, b][/math]

What I'd do in your case is look at [math]f(x) = e^{x^2} - c[/math] for [math]x \geq 0[/math] and [math]f(x) = -c[/math] for [math]x < 0[/math].