Question

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

Answer 1

looks like you left out T(x)

Answer 2

so for part i) , is it continuous at x = 6061

Answer 3

Okay :) thanks :)

Answer 4

@bibby

Answer 5

>\(\large606.10+0.18(x-6061) if 6061<x\le 32,473\)

it is defined at x=32,473 so I'd say yeah

Answer 6

Ok :)

Answer 7

what about the third one ?

Answer 8

unsure, sorry

Answer 9

haha its okay thanks anyway:)

Answer 10

@perl can you help on the third one ?

Answer 11

ok

Answer 12

you can make up a scenario where it is advantageous

Answer 13

okay thanks :)