Question

Evaluate each of the following values for the function f(x) = [x]:

a) f(-2.3) = -2
b) f(0.7) = 0
c) f(1.4) = 1
d) f(3.6) = 3
e) f(10.8) = 10

Answer 1

The student's question involves evaluating the floor function, denoted as f(x) = [x], at different values, which returns the greatest integer less than or equal to a given number.

Step-by-step explanation:

The student question relates to evaluating a given function at certain input values where the function is represented as f(x) = [x], which typically denotes the floor function. The floor function returns the greatest integer less than or equal to x. Here are the evaluated values for the function:

• f(-2.3) = -3 since -3 is the largest integer less than -2.3.
• f(0.7) = 0 since 0 is the largest integer less than 0.7.
• f(1.4) = 1 since 1 is the largest integer less than 1.4.
• f(3.6) = 3 since 3 is the largest integer less than 3.6.
• f(10.8) = 10 since 10 is the largest integer less than 10.8.