F (x) is an odd function on R, f (x = 2) = - f (x) when x is greater than or equal to 0 and less than or equal to 1, f (x) = x, f (7.5) =? F (x) is an odd function on R, f (x + 2) = - f (x) when x is greater than or equal to 0 and less than or equal to 1, f (x) = x, f (7.5) =?

F (x) is an odd function on R, f (x = 2) = - f (x) when x is greater than or equal to 0 and less than or equal to 1, f (x) = x, f (7.5) =? F (x) is an odd function on R, f (x + 2) = - f (x) when x is greater than or equal to 0 and less than or equal to 1, f (x) = x, f (7.5) =?

Let x = x + 2, so f (x + 4) = - f (x + 2) = f (x). So f (x) is a function with period 4, so f (7.5) = f (8-0.5) = f (- 0.5) because f (x) is an odd function, so - f (x) = f (- x), so f (- 0.5) = - f (0.5) = - 0.5!

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