The table belowillustrates the IRS tax brackets for the year 2021: 1. Use the table above to write a piecewise function f(x) that calculates the amount of tax due based on a taxable income of x. 2. Use your function from part (a) to find the tax due when taxable income is: a. $37,450 b. $100,000 c. $500,000 3. The effective tax rate is given by the percentage of tax due relative to taxable income. ETR=taxableincometaxdue100(%) Using your answers from number 2, find the effective tax rate paid when taxable income is: a. $37,450 b. $100,000 c. $500,000