Step-by-step explanation:
as there are only 3 types of discontinuity overall : A, B and C.
there is no fourth, so D is out.
to check we use x = 2 in both equations and see, if and how the 2 connect or disconnect at that point.
5x + 4, x = 2
5×2 + 4 = 14
this is finite and a well-defined number.
2 - x, x = 2
2 - 2 = 0
this is again finite and well-defined.
but it is different from 14 above.
there is no multiplication factor or so that causes special values. so, there is no removable discontinuity. A is out.
none of the values at the point go to infinity, so there is no infinite discontinuity. B is out.
but yes, the functional value Suendenbock suddenly jumps at the point from 0 to 14 without any connection.
so, yes, it is a jump. C is right.
