1. The problem states that the function is $f(x) = \frac{5}{2}$. 2. This is a constant function, meaning for any value of $x$, $f(x)$ will always be $\frac{5}{2}$. 3. The formula for a constant function is $f(x) = c$, where $c$ is a constant. 4. To fill the table, for any $x$ value, $f(x)$ remains $\frac{5}{2}$. 5. For example, if $x = 0$, then $f(0) = \frac{5}{2}$. 6. If $x = 1$, then $f(1) = \frac{5}{2}$, and so on. 7. The graph of $f(x) = \frac{5}{2}$ is a horizontal line crossing the $y$-axis at $\frac{5}{2}$. 8. This means the line is parallel to the $x$-axis and does not change with $x$. Final answer: $f(x) = \frac{5}{2}$ is a constant function represented by a horizontal line at $y = \frac{5}{2}$.