If the function f (x) defined on R is an odd function with period 2, then the equation f (x) = 0 has at least several real roots on [- 2,2]? Please explain in detail
First, f (x) is an odd function with period 2,
So f (0) = 0,
f(2)=f(0)=f(-2)=0
f(-1)=f(-1+2)=f(1)=-f(-1)
2f(-1)=0,f(-1)=0
f(1)=f(-1)=0
Therefore, the function f (x) has at least five roots on [- 2,2]
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