The function f(x)=|x-3∣ can be used to determine how far a number x is away from the number 3 on the number line. Find and interpret the given function values and determine an appropriate domain for the function. f (-4)=__, meaning the number ___ is a distance of __ units away from 3 on the number line. This interpretation Makes sense or does NOT make sense in the context of the problem.

f(1)= ___, meaning the number is a distance of ___ units away from 3 on the number line. This interpretation Makes sense or does NOT make sense in the context of the problem.

f (1.5) = ___, meaning the number is a distance of ___ units away from 3 on the number line. This interpretation Makes sense or does NOT make sense in the context of the problem.

Based on the observations above, it is clear that an appropriate domain for the function is
integers in a ≤x ≤ b
positive integers (1,2,3,...)
whole numbers (0,1,2,...)
integers
real numbers in a ≤ x≤b
non-negative real numbers
all real numbers