how do you sketch a graph of a step function (floor function) without using a table? Is there a standard equation like there is for a parabola? For example y=floor(3x+2)?

Question

anonymous · Answer

floor is the largest integer not greater than its argument, and in your case (3x+2).  You look at intervals of x values that will have the same value of floor(3x+2) and then plot each step.

anonymous · Answer

so you want to look at intervals of size 1/3 in your case

anonymous · Answer

so there isn't a standard equation that could help you sketch it without a table? like a parabola where it's y=+or-a(x-h)^2+k

anonymous · Answer

no it is discrete line segments, there isn't a nice equation typically for the floor function, we just use floor(x)

anonymous · Answer

oh okay...thanks

anonymous · Answer

your welcome