The function f is positive over the intervals (−[infinity],−1) is false.
The statement "The function f is positive over the intervals (−∞,−1)" implies that the function is positive for all values of x less than -1.
However, this information alone is not sufficient to make a definitive conclusion about the entire function's behavior.
The positivity of a function depends on its specific characteristics, such as the shape of the graph and the locations of roots and critical points.
To accurately determine the sign of f across its entire domain, additional information about the function's behavior in other intervals is needed.
Therefore, without further details, it is not necessarily true that f is positive over the entire interval (−∞,−1).