Function that returns $0$ for all negative values

Question

I need a function that returns $0$ if the given number is negative, and otherwise doesn't change the number.

Example: $$y(-5)=0,\ y(-2)=0,\ y(0)=0,\ y(3)=3,\ y(2566)=2566.$$

Does such a function exist?

score 14 · Accepted Answer · answered Aug 20 '15 at 10:24

14

You can take for example $$\frac{|x|+x}{2}.$$ You can construct similar examples.

answered Aug 20 '15 at 10:24

Ofir Schnabel

score 10 · Answer 2 · answered Aug 20 '15 at 11:19

10

Just use

$$f(x) = \max\{x,0\}$$

This way it's clear what your function do

answered Aug 20 '15 at 11:19

Tryss

score 3 · Answer 3 · answered Aug 20 '15 at 11:03

3

Exotic: $0^{\sqrt{x^2}-x}\cdot x$.

answered Aug 20 '15 at 11:03

Michael Hoppe

3 Answers3