Question

Consider the ceiling function by f(a) = a. Determine f(9.1), f(9.001), and f(−1.5).

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

Answer 1

The ceiling function values for f(9.1), f(9.001), and f(-1.5) are 10, 10, and -1, respectively, as it returns the smallest integer greater than or equal to a given number.

Step-by-step explanation:

The question involves evaluating the ceiling function, denoted as f(a) = ⌈a⌉, for different values of 'a'. The ceiling function is defined as the smallest integer that is greater than or equal to a given number. Let's determine the values for the specified arguments.

• f(9.1) = 10, because the smallest integer greater than 9.1 is 10.
• f(9.001) = 10, because the smallest integer greater than 9.001 is also 10.
• f(−1.5) = -1, because the smallest integer greater than -1.5 is -1.

Therefore, the correct answers are f(9.1) = 10, f(9.001) = 10, and f(−1.5) = -1.