Identifying Removable Discontinuities in Rational Functions

[eit2103]

Hi all,

My first message here.

I had the following question in a quiz:

For each of the following determine all x values where the function has a removable or non-removable discontinuity and identify whether the discontinuity is a hole, jump or vertical asymptote.

1. f(x) = |x - 3|
_____
x - 3


My answer:

hole at x = 3
removable discontinuity


My teacher deducted 2 points noting down "why?"

frankly, I don't understand what he meant by why? Why what?

Looking forward for your suggestions.

 

[LCKurtz]

I would have deducted all the points on that problem because your answer isn't even correct, let alone having explained why. Do you know the difference between a jump discontinuity and a removable one? Have you looked at the graph of your function?

 

[Mark44]

Take LCKurtz's advice and graph the function, and you should see why the discontinuity isn't removable.