Question

Find the indicated functional value for the ceiling function: f(−0.75)?

A. -1
B. 1
C. 2
D. 0

Answer 1

The ceiling function, denoted by ⌈x⌉, gives the smallest integer that is greater than or equal to x. Therefore, ⌈-0.75⌉ is the smallest integer that is greater than or equal to -0.75.

Since -1 is the smallest integer that is greater than or equal to -0.75, we have:

⌈-0.75⌉ = -1

Therefore, the functional value for the ceiling function at -0.75 is -1.

The answer is option A.