Let $r$ be a fixed point in $R^{(k)}$ and defined $f: R^{(k)} \rightarrow R^{(k)}$ by $f(x)=x+r$
Then prove that $f$ is continuous.
How do I approach this question? I am confused as to what topic exactly this falls under. Does think fall into vector-valued functions or differentiation? What is the mechanism to approach this question?