I'm interested in looking at mappings of functions.
For example, how would I come up with a function $f:x\in[0,\infty)|\longmapsto\ (-\infty, 0]$ where $f(x)=x^2.$ Basically I want to glue every point to the right of this function to the left.
I'm interested in looking at mappings of functions.
For example, how would I come up with a function $f:x\in[0,\infty)|\longmapsto\ (-\infty, 0]$ where $f(x)=x^2.$ Basically I want to glue every point to the right of this function to the left.
HINT: Construct a function mapping positive elements to their additive inverse. This is impossible with $f(x) = x^2$.