Mathematics homework help

Answer all questions. Show all work. Contact your instructor with any question before the due date.
The annual government taxes for the residents of a country is calculated using the piece-wise function below. f(x) is the annual taxes owed to the government, and x is the person’s annual income.
Piece-wise Function
1a.  Find f(65,000) (5 pts)
1b.  Give a detail explanation of what your result says  (5 pts)
2a.  Find f(40,000)  (5 pts)
2b.  Give a detailed explanation of your results (5 pts)
3a  Find f(20,000)  (5 pts)
3b.  Give a detailed explanation of the result (5 pts)
4a  Find f(8,500)  (5 pts)
4b.  Give a detailed explanation of this result  (5 pts)
5.  Explain why this function had to be piece-wise. Explain how the function works.  (10 pts)