Understanding the Floor Function

What is another common name for the floor function?

• Least Integer Function

• Smallest Integer Function

• Greatest Integer Function

• Average Integer Function

How does the floor function behave when applied to a negative number like -2.1?

• Rounds to 0

• Rounds down to -3

• Rounds to -2

• Rounds up to -2

What is the output of the floor function when applied to an integer?

• Zero

• The integer minus one

• The integer plus one

• The integer itself

What is a key characteristic of the floor function's graph?

• It is a straight line

• It has jump discontinuities

• It is a continuous curve

• It forms a parabola

In the context of the floor function, what does 'if and only if' signify?

• The statement is irrelevant

• The statement is false

• The statement is true in both directions

• The statement is true in one direction

How can the floor function be simplified when an integer is added inside it?

• The integer can be ignored

• The integer must be doubled

• The integer can be taken outside the floor function

• The integer must be subtracted

What is the relationship between the floor of a sum and the sum of floors?

• The floor of a sum is between the sum of floors and the sum of floors plus one

• The floor of a sum is always less

• They are always equal

• The floor of a sum is always greater

What is the result of adding the floor of a number and the floor of its negation when the number is not an integer?

• One

• The number itself

• Zero

• -1

What happens to the magnitude of a negative number when the floor function is applied?

• It remains the same

• It increases

• It decreases

• It becomes zero

Which functions are closely related to the floor function?

• Exponential and Logarithmic functions

• Quadratic and Cubic functions

• Sine and Cosine functions

• Ceiling and Sawtooth functions