Question

Using the graph below, select all statements that are true.

Answer 1

This is the Greatest Integer Function, denoted by $y = [x]$. For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest integer.

a. FALSE. Because f(4.9) will round down to 4.
b. TRUE.   
c. no it's not the absolute value function. that has V-shape
d. TRUE.
e. FALSE. because for every unique x-value you don't always get a unique y value. .... f(5)=5, f(5.1)=5, f(5.76)=5, etc.