Examine the following function for continuity: $f(x) = x - 5$.

(N/A) The given function is $f(x) = x - 5$.
It is evident that $f$ is defined at every real number $k$ and its value at $k$ is $f(k) = k - 5$.
We calculate the limit of the function as $x$ approaches $k$:
$\lim_{x \to k} f(x) = \lim_{x \to k} (x - 5) = k - 5$.
Since $\lim_{x \to k} f(x) = f(k)$,the function $f$ is continuous at every real number $k$.
Therefore,$f(x) = x - 5$ is a continuous function.