Refer to the following graphs to determine an appropriate response.
-Which one is the graph of $y = [ [ x ] ]$ ? What is the value of $y$ when $x = 1.5$ ?
A) graph B; $2.25$
B) graph D; 1
C) graph $C ; 1$
D) graph A; $2.25$

Question

Refer to the following graphs to determine an appropriate response. 
-Which one is the graph of $y = [ [ x ] ]$ ? What is the value of $y$ when $x = 1.5$ ?
A) graph B; $2.25$ 
B) graph D; 1 
C) graph $C ; 1$ 
D) graph A; $2.25$

Quizplus · Accepted Answer

The notation $[ [ x ] ]$ typically denotes the greatest integer function, also known as the floor function, which maps a real number to the largest integer less than or equal to that number. Therefore, for $x = 1.5$, the value of $y = [ [ 1.5 ] ]$ is $1$, because the greatest integer less than or equal to $1.5$ is $1$. The graph of the greatest integer function is a series of steps, where each step jumps at integer values of $x$, which matches the description of graph C in typical representations.

Refer to the Following Graphs to Determine an Appropriate Response y=[[x]]y = [ [ x ] ]y=[[x]]

Refer to the Following Graphs to Determine an Appropriate Response $y = [ [ x ] ]$