Question

The following piecewise function gives the tax owed, T(x), by a single taxpayer on a taxable income of x dollars. Screenshot of the function: http://prntscr.com/14yki3 (i) Determine whether T is continuous at 6061. (ii) Determine whether T is continuous at 32,473. (iii) If T had discontinuities, use one of these discontinuities to describe a situation where it might be advantageous to earn less money in taxable income.