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Mathematics

1 answer:

Anestetic [448]3 years ago

5 0

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.

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