Final answer:
The ceiling function rounds a number up to the nearest integer, while the floor function rounds a number down to the nearest integer.
Therefore, the correct options are:
option 1) Round a number up to the nearest integer.
option 2) Round a number down to the nearest integer.
Step-by-step explanation:
Floor and ceiling functions In mathematics and computer science, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor.
The ceiling and floor functions are mathematical functions that round a number up or down to the nearest integer, respectively.
The ceiling function rounds a number up to the nearest integer, while the floor function rounds a number down to the nearest integer.
For example, if we apply the ceiling function to 4.3, the result would be 5 because it rounds up to the nearest integer.
Conversely, if we apply the floor function to 4.7, the result would be 4 because it rounds down to the nearest integer.
Therefore, the correct answer is option 1) Round a number up to the nearest integer and option 2) Round a number down to the nearest integer.