Directions: Show all work, and answer each question that is asked. Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled.

The following is a simplified version of the actual California state tax tables, for married filing jointly taxable incomes up to $37,219. For 2017, a married filing jointly person whose taxable income is between $0-$15,699 is charged 1% in tax. A married filing jointly person whose taxable income is between $15,700-$37,219 is charged 1% of the first $15,699, and 2 % of the amount over $15,699. Write a piecewise-linear function to represent the CA state income tax for a married filing jointly taxpayer as a function of taxable income, for taxable incomes up to $37,219. Graph this function. Note that these are referred to as "tax brackets". The actual tax brackets for the state of CA in 2017 is given in the table below:

Tax Bracket Tax Rate

$0.00+ 1%

$15,700.00+ 2%

$37,220.00+ 4%

$58,744.00+ 6%

$81,546.00+ 8%

$103,060.00+ 9.3%

$526,444.00+ 10.3%

$631,732.00+ 11.3%

$1,000,000.00+ 12.3%

$1,052,886.00+ 13.3%