What is the period of the mathematic function of y=[x] also with respect to the floor and the ceiling?

Question

I am doing home work for my Pre-Calculus class and I am currently trying to understand the new terms he is using. This is a Triginomotry baised problem that I have never seen before and this is the first week of school and yup this is the problem he gave the class so if i could get a little bit of help and maybe an explination. Thanks...

Answer 1

I can tell you the graph of this function looks like a v, with the vertex at x=0, y=0, and each of the lines emanate at 45 degree angles up and to the right and up and to the left. It doesn't have a period, unless infinity is considered.

Your teacher may be referring to taking the absolute value of a periodic function and then finding the period of that function. For example, the period of y=sine(x) is 2 pi. The period of y=[sine(x)] is pi. The floor of the function is now zero instead of -1 and the ceiling of this function is the same at 1.