Okay, I'm slightly confused. I'm currently in the beginning of my course Algebra 2 /Trig and I can't seem to figure out how to graph this step function
I'm comfortable with rigid transformations, but this seems to be nonrigid?
i'll try to explain it with this..
consider the graph of
, i assume you know the graph of this basic function..
now, the effects on that graph when you have the general form of the greatest integer function
is the length of each step
horizontal shift of the graph
is the distance between steps.. (because of the effect of this part, the "slope" of the "ladder" is more positive if , while the slope approaches to 0 when )
is the value of y when on the interval
thus, from your given ,
the graph of shifts 5 units to the left and the distance between steps is 2..