Several expressions of periodic function? For example, f (x + 2) = f (x) f (X-2) = f (x) f (x + 2) = - f (x) f (X-2) = - f (x)... And so on! Are they periodic functions? If so, what are the axis of symmetry and the period? What if they are even or odd functions? What are the axis of symmetry and the period? What are the expressions of periodic functions? Detailed answer to chase points!

Several expressions of periodic function? For example, f (x + 2) = f (x) f (X-2) = f (x) f (x + 2) = - f (x) f (X-2) = - f (x)... And so on! Are they periodic functions? If so, what are the axis of symmetry and the period? What if they are even or odd functions? What are the axis of symmetry and the period? What are the expressions of periodic functions? Detailed answer to chase points!

Encyclopedia, do you want to see it?
Here I would like to give you a simple answer:
First of all, there are four kinds of periodic functions
Y = SiNx (odd function)
Y = cosx (even)
Y = TaNx (odd)
Y = Cotx (odd)
The period sin, like cos, is 2 π
Tan, like cot, is pi
As for the expression of the building owner, it means f (x + T) = f (x) = f (x-t). Here, let x = x-t in turn
Simply put, the minimum period of the periodic function is the distance between two adjacent valley peaks, so f (x + T) = f (x) = f (at + x) a is a positive integer. For example, when t = 4, f (x) = f (x + 4) = f (x + 2004)=````
In general, to understand the periodic function, it is best to draw your own picture to understand, after all, the text is very cumbersome