This function is defined as f(x) = 2|x| where |x| represents the absolute value of x.
If x is positive, then f(x) = 2x.
If x is negative, then f(x) = -2x.
This means that the output of the function will always be positive, as the absolute value of any number is its distance from zero on the number line.
For example, if x = -3, then f(-3) = 2|-3| = 2*3 = 6.
So, the function f(x) = 2|x| will always return a positive value.