Question

How do I find the domain and range of the functions?

1. f(x)=2/3x - 4
2. f(x)= x^3-3x+2
3. f(x)= 1/2 l x-2 l
4. f(x)= l x-1 l / x-1

Answer 1

domain of all polynomials is all reals

domain of rational functions is all reals except where the denominator is zero.

1. assuming you meant 2/(3x) - 4
domain: all reals except x=0
range: all reals

2. domain: all reals
range: all reals, since odd-degree

3. domain: all reals
range: y >= 0

4. domain: all reals except x=1
range: {1,-1}