$1$ Questions on Prerequisite Material

$[$Tax Function$]$ In the US$,$ taxes are determined on the basis of "adjusted gross income $($AGI$)"-$ it is the income net of all adjustments $($standard deductions etc.$)$ Denote AGI by $x.$ We will write the tax function for a individual filing taxes with the IRS under the filing status "single". There are way too many brackets in the US tax system so we will simplify matters and give the actual system our own twist. The following are the tax brackets:

$\backslash$table$[[$AGI$($$$),$Tax Rate$],[0$ to $10000,10\%$