Floor and Ceiling Functions

What is the definition of the floor function?

• The floor function returns the absolute value of x.

• The floor function returns the largest integer less than or equal to x.

• The floor function returns the square root of x.

• The floor function returns the smallest integer greater than or equal to x.

What is the definition of the ceiling function?

• Rounds a number down to the nearest integer less than or equal to the given number.

• Rounds a number up to the nearest integer greater than or equal to the given number.

• Rounds a number to the nearest integer.

• Rounds a number to the nearest even integer.

Which of the following is a property of the floor function? a) floor(x) = x b) floor(x) = x + 1 c) floor(x) = -x d) floor(x) = x - 1

• a) floor(x) = x

• c) floor(x) = -x

• d) floor(x) = x - 1

• b) floor(x) = x + 1

Which of the following is a property of the ceiling function? a) ceiling(x) = x b) ceiling(x) = x + 1 c) ceiling(x) = -x d) ceiling(x) = x - 1

• a) ceiling(x) = x

• d) ceiling(x) = x - 1

• c) ceiling(x) = -x

• b) ceiling(x) = x + 1

What is the value of floor(3.7)?

• 4

• 3.5

• 2

• 3

What is the value of ceiling(5.2)?

• 5.5

• 5

• 6.5

• 6

What is the value of floor(-2.5)?

• -2

• -2.5

• 0

• -3

What is the value of ceiling(-4.8)?

• -5

• -3

• 0

• -4

Which of the following is an application of the floor function? a) Rounding up a number c) Finding the greatest integer less than or equal to a number d) Finding the smallest integer greater than or equal to a number

• a

• c

• d

• b

Which of the following is an application of the ceiling function? a) Rounding down a number b) Finding the greatest integer less than or equal to a number c) Finding the smallest integer greater than or equal to a number

• a

• b

• d

• c