Give a piecewise function that assigns to each (taxable) income up to $202,800, the federal tax paid on that income, using the following information taken from: Government of Canada1

The federal tax rates are:

15% on the first $45,916 of income, plus 20.5% on the next $45,915 of income (on the portion of income over $45,916 up to $91,831), plus

26% on the next $50,522 of income (on the portion of income over $91,831 up to $142,353), plus

29% on the next $60,447 of income (on the portion of income over $142,353 up to $202,800), plus

33% of income over $202,800.