Graph the function. $$y = [ [ 3 x ] ]$$
C) $\mathrm { d }$.

Question

Quizplus · Accepted Answer

The function is evaluating to the greatest integer less than or equal to $3x$. This means that the output will only change when $3x$ crosses an integer boundary. Therefore, the graph will consist of a series of horizontal line segments, with the lines moving up whenever $3x$ crosses a multiple of 1, and moving down whenever $3x$ crosses a multiple of $-\frac{1}{3}$.
The graph has a slope of $0$ at every integer multiple of $\frac{1}{3}$ (where the function intersects an integer value). 
Using this information, graph the points $(0,0),(0.333,0),(0.666,0),(1,1),(1.333,1), (1.666,1),(2,2),$ etc. and connect them with horizontal line segments.

Note: the correct answer was edited to fix an error in the original coordinates provided for point $(1,1)$.

Graph the Function y=[[3x]]y = [ [ 3 x ] ]y=[[3x]]

Graph the Function $y = [ [ 3 x ] ]$