Question

Which correctly describes the point of discontinuity of the function?

Answer 1

A real-valued univariate function f=f(x) has a jump discontinuity at a point
`x_0` in its domain provided that

`\lim \limits_(x\to x_0^-)f(x)=A_1`

and

`\lim \limits_(x\to x_0^+)f(x)=A_2`

both exist and that
`A_1\\eq A_2.`

As you can see at x=-3,

`\lim \limits_(x\to -3^-)f(x)=6,`
`\lim \limits_(x\to -3^+)f(x)=9` and
`6\\eq 9.`

Therefore, there is a jump discontinuity at x=-3.

Answer: correct choice is A.