Question

Let A = R (the set of real numbers) and B = Z. Let f: A → B be the function that takes a real number a as its input and outputs the greatest integer that is less than or equal to a. This function is denoted by f(a) = a and is called the

A) Floor function
B) Ceiling function
C) Identity function
D) Exponential function

Answer 1

The function that maps a real number to the greatest integer less than or equal to it is called the Floor function, which is option A.

Step-by-step explanation:

The function described as taking a real number a and outputting the greatest integer that is less than or equal to a is known as the Floor function. The correct answer to the question is A) Floor function.

Unlike the Ceiling function, which rounds a number up to the nearest integer, the Floor function rounds a number down to the nearest integer. This is not to be confused with the Identity function, which would simply return the input value, or the Exponential function, which involves numbers raised to a power.