Question

Is the function `2-x` continuous if 2 < x ≤ 3?

Answer 1

Yes

Explanation:

The function:

`f(x)=2-x`

is a polynomial, as such it is well defined over the entire domain of real numbers and note exhibit any abnormal behaviour,or have any poles or asymptotes or discontinuities.

Hence,

`2-x`

is continuous `AA x in RR` and therefore is also continuous over the subdomain `2 lt x le 3`.