To find the indicated functional value for the floor function $f(x)$ at $x = 1.5$, we use the definition of the floor function. The floor function, denoted as $\lfloor x \rfloor$, returns the greatest integer less than or equal to $x$.

Given $x = 1.5$:

$\lfloor 1.5 \rfloor$

The greatest integer less than or equal to $1.5$ is $1$.

Thus,

$\lfloor 1.5 \rfloor = 1$

So, the functional value $f(1.5) = 1$.

Would you like more details or have any questions?

Here are 8 related questions that expand on this information:

1. What is the value of the floor function at $f(2.99)$?
2. How does the floor function behave for negative fractional values?
3. What is the ceiling function value for $f(1.5)$?
4. Calculate $f(-3.7)$ using the floor function.
5. How would you graph the floor function for the range $0 \leq x \leq 3$?
6. Can the floor function and ceiling function ever return the same value for a given $x$?
7. What is the floor function value of $-\sqrt{3}$?
8. How does the floor function handle very small positive numbers, such as $f(0.001)$?

Tip: The floor function is often used in mathematical problems involving division where you need the quotient as an integer, discarding any remainder.