1. The problem asks for the absolute maximum value of the function $f(x) = 5$ on the interval $[2,10]$. 2. The function $f(x) = 5$ is a constant function, meaning it has the same value for every $x$ in the domain. 3. For any constant function $f(x) = c$, the absolute maximum and minimum values on any interval are both equal to $c$. 4. Since $f(x) = 5$ for all $x$ in $[2,10]$, the absolute maximum value is simply $5$. 5. Therefore, the answer is option D) 5.