The amount of income tax, t, an individual owes is defined by piecewise function t(i) and is based on the individual's income, where iis taxable income in dollars.t(i) =0.12i655+0.13(i-14000)4500+ b(i-40000)if 0 ≤ i ≤ 15,000if 15,000 37,000Part A: Show that the function t(i) is not continuous at /= 15,000.Part B: Find the value of constant b that makes (1) continuous at /= 37,000.

The amount of income tax, t, an additional owes is defined by piecewise function t(i) and is based…

The amount of income tax, t, an individual owes is defined by piecewise function () and is based on the individual's income, where / is taxable income in dollars. 0.12/ t(i)= 655+0.13(i-14000) 4500+ b(i-40000) if 0 si≤ 15,000 if 15,000 37,000 Part A: Show that the function t(i) is not continuous at /= 15,000. Part B: Find the value of constant that makes t() continuous at /= 37,000.1