It is known that the definition field of function f (x) is r, and f (x + 2) = - f (x) is proved that f (x) is a periodic function If f (x) is an odd function, and if x is greater than or equal to 0 and less than or equal to 1, f (x) = 1 (/ 2) x, find the analytic solution of F (x) in [- 1,3]

It is known that the definition field of function f (x) is r, and f (x + 2) = - f (x) is proved that f (x) is a periodic function If f (x) is an odd function, and if x is greater than or equal to 0 and less than or equal to 1, f (x) = 1 (/ 2) x, find the analytic solution of F (x) in [- 1,3]

f(x)=-f(x+2)
f(x+2)=-f(x+4)
therefore
f(x)=-f(x+2)=f(x+4)
So it's a periodic function with a period of 4