Question

Which points are included in the graph of the ceiling function f(x) = ⌈x⌉? Select all that apply.

A. (−0.5, −1)
B. (−1.5, −2)
C. (−3.5, −3)
D. (−3.5, −4)
E. (3.001, 4)
F. (−3.001, −3)

Answer 1

C, E, F

Explanation:

You want to know which points match the ceiling function among ...

• A. (−0.5, −1)
• B. (−1.5, −2)
• C. (−3.5, −3)
• D. (−3.5, −4)
• E. (3.001, 4)
• F. (−3.001, −3)

Ceiling

The ceiling function is also known as the least integer function. It returns the smallest integer greater than or equal to its argument value. It is essentially a "round to next higher" function, with any integer input remaining unchanged.

The attachment shows the input and output of the ceiling function for the values on the answer choice list. C, E, F are points on the function's graph.