The following piecewise function gives the tax owed, T(x), by a single taxpayer on a taxable income of x dollars.

Question

T(x) =
(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.

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Answer 1

Tough to describe the function, when it not given...