The function below determines the amount of yearly tax a person must pay, which is based on the amount of money they earn each year.

T(x) = 0.10x, $0 ≤ x < $12,750
0.07(x-12,750) + 765, $12,750 ≤ x < $60,000
0.077(x-60,000) + 4,072.50, x ≥ $60,000
  1. Describe the domain and range of the tax function in context.
  2. Identify the domain and range of t(x).
  3. Based on the function provided, explain how the amount of tax owed changes if your earnings increase from $10,000 to $50,000.