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.
plug in x = 6061 into the first and second pieces (separately).
If they produce the same T(x) value, then it's continuous at x = 6061

(ii) Determine whether T is continuous at 32,473.
it's continuous at x = 6061
plug in 32473 into the second and third pieces, continuous.

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.
 plug in x = 6061 into the first and second pieces (separately). 
If they produce the same T(x) value, then it's continuous at x = 6061

(ii) Determine whether T is continuous at 32,473.
it's continuous at x = 6061
plug in 32473 into the second and third pieces, continuous.

anonymous · Answer

Part # is wrong my teacher said please check @mathmath333

anonymous · Answer

(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.
they are equal so continuous at 32473 too.

anonymous · Answer

my teacher said: The question wants to know if T had discontinuities, what kind of situation
 could you see it may be an advantage to earn less money?

anonymous · Answer

@mathmath333  please check the error in just part iii other two are correct

anonymous · Answer

ill go nw i have to teach him ill come back later

mathmath333 · Answer

i think u have forgot to put
$T(x)=?$

anonymous · Answer

x will be?

anonymous · Answer

@Nnesha  please help

anonymous · Answer

@master50777 it my e please help i have 3 questiobs remaining i have to submit my work today

danjs · Answer

What does T(x) = .....  you left that out of the question.

anonymous · Answer

@Nurali  @TuringTest  please hel me why i got part 3 wrong explain

turingtest · Answer

you are missing a critical part of your problem, that is why nobody is helping you
your problem says
T(x) = ....

turingtest · Answer

we need to know what T(x) is

anonymous · Answer

ok ill check again

anonymous · Answer

thanks no one was telling me that i post the question wrong

turingtest · Answer

you are welcome
others tried to say the same thing, but perhaps in less clear wording

anonymous · Answer

attachment

anonymous · Answer

my teacher said part iii is wrong

turingtest · Answer

oh man lol so much to read at this hour

anonymous · Answer

The question wants to know if T had discontinuities, what kind of situation
 could you see it may be an advantage to earn less money?

anonymous · Answer

only part iii other two answers are correct

turingtest · Answer

oh i see, ok you don't seem to understand the question

turingtest · Answer

first of all, find a point that is discontinuous

turingtest · Answer

ok never mind, just pretend it has one
what does a discontinuity mean?

anonymous · Answer

not ending?

turingtest · Answer

no, a discontinuity is like a jump in the graph|dw:1420094709125:dw|