Question

Consider the floor function f(a) = a. Determine f(9.8), f(0.1), and f(−1.1)

a) 9, 0, -2
b) 10, 1, -1
c) 9, 1, -2
d) 10, 0, -1

Answer 1

The floor function outputs the greatest integer less than or equal to the given number. After evaluating, we find that f(9.8) = 9, f(0.1) = 0, and f(− 1.1) = − 2, which corresponds to option a).

Step-by-step explanation:

The floor function, denoted as f(a) = ⌊ a ⌋, is defined as the greatest integer less than or equal to a. Here we calculate f(9.8), f(0.1), and f(− 1.1).

• f(9.8) = ⌊ 9.8 ⌋ = 9 because 9 is the largest integer less than or equal to 9.8.
• f(0.1) = ⌊ 0.1 ⌋ = 0 because 0 is the largest integer less than or equal to 0.1.
• f(−1.1) = ⌊ −1.1 ⌋ = −2 because −2 is the largest integer less than or equal to −1.1.

Therefore, the answers are f(9.8) = 9, f(0.1) = 0, and f(− 1.1) = − 2, which corresponds to option a) 9, 0, − 2.