a. Write a piece wise function f(x) for the state you have been assigned to write the piece wise function. b. Graph each one using Desmos.com. Save your graph so that you can upload it on Blackboard. c. What is the domain of the function in interval notation? d. What is the range of the function in interval notation? e. What is the constant interval? f. Are there any points of discontinuity? If so where are there located? g. Where is the derivative of your graph equal to zero? Explain. h. Is there a maximum value? If so, what is it? i. Is there a minimum value? If so, what is it? j. What is the interval of decrease? j. What is the interval of increase?

New York Single Income Tax Brackets Income Tax Bracket Tax Rate 2019 $0 to $8,500 4% $8,501 to $11,700 4.5% $11,701 to $13,900 5.25% $13,901 to $21,400 5.9% $21,401 to $80,650 6.21% $80,651 to $215,400 6.49% $215,401 to $1,077,550 6.85% $1,077,551 to 8.82% New York Single Income Tax Brackets Income Tax Bracket Tax Rate 2019 $0 to $8,500 4% $8,501 to $11,700 4.5% $11,701 to $13,900 5.25% $13,901 to $21,400 5.9% $21,401 to $80,650 6.21% $80,651 to $215,400 6.49% $215,401 to $1,077,550 6.85% $1,077,551 to 8.82%