Determine whether the statement is true or false. If it is true, explain why. If it is

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Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

If f is continuous on [21, 1] and f (-1) = 4 and f (1) = 3, then there exists a number r such that |r| < 1 and f (r) = π.

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