Question

How would you limit the domain to make this function one to one f(x)=3-x^2

Answer 1

x ≥ 0

Explanation:

You want to know an appropriate limit on the domain of f(x) = 3 -x² so the function is one-to-one.

One to One

A function is one-to-one if it passes the "horizontal line test." That is, a horizontal line can intersect its graph in at most one place.

The function f(x) = 3-x² has a turning point at x=0 and is symmetrical about that line. In order to make the function be one-to-one, the domain must be restricted to one of ...

• x ≥ 0, or
• x ≤ 0

or any subset of either of those domains.