(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am given the following function, piecewise:

f(x) = (-x+b) (x<1)

3 if x=1

(-12/(x-b))-1 (x>1, x=/b)

I am asked:

1) For what value(s) of 'b' does 'f' have a removable discontinuity at 1?

2) For what value(s) of 'b' does 'f' have a (finite) jump discontinuity at 1? Write your answer in interval notation.

2. Relevant equations

X

3. The attempt at a solution

Honestly, I have to clue where to start; especially in regards to the removable discontinuity. I tried making the functions equal each other for the jump discontinuity but, that was way out as far as I can tell.

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If I could at least be given a starting point to go from, it would be appreciated. I'm not asking for the answers but, I'm so lost and just staring at this thing isn't helping. Thanks,

RK

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# How do I determine where a function has a removable and a jump discontinuity?

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