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

Sep 22, 2017

Yes

#### Explanation:

The function:

$f \left(x\right) = 2 - x$

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 $\forall x \in \mathbb{R}$ and therefore is also continuous over the subdomain $2 < x \le 3$.