Question

guys what type of discontinuity does this function have?

Answer 1

This is what my Calculus-1 teacher taught me about discontinuities.
Discontinuities are when you are drawing any function and THE MOMENT THAT YOU LIFT YOUR PENCIL, that is a discontinuity.

Answer 2

ohh i see

Answer 3

Im not yelling at you, but I'm putting emphasis on the keywords. :)

Answer 4

What math level is this?

Answer 5

college calculus

Answer 6

level 1

Answer 7

I dont see a single function.... There are more than one function??

Answer 8

there is only 1 function

Answer 9

no two graphs are plotted.. f(x)=x+3 and another one.. check the picture.

Answer 10

x|x^2-4| / x^2 - 3x + 2

Answer 11

the other is y = x + 3 which is the asymptote of that graph

Answer 12

Oh its a removable discontinuity.. You need to define the function suitably at the points x=2 and x=-2 to make it continuous

Answer 13

yeah im thinking removeable, but the graph clearly shows there is a jump there, in a little bit confused

Answer 14

at x=1 it has an infinite discontinuity
at x=2 it has a jump discontinuity
(i don't know if these r the correct names in english)

Answer 15

at x=1 and at x=2 infinite discontinuities.. How is the jump discontinuity coming @ helder?

Answer 16

hmm i see thanks,

Answer 17

omg yeah it's jump discontinuity, the behaviour resembles abs(x)/x where there is jump discontinuity