A polynomial function with an odd degree and a negative leading coefficient extends from the _________ quadrant to the __________ quadrant.

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The odd degree polynomial function, whose leading coefficient is negative, extends from quadrant 2 to quadrant 4.

Consider as example the following odd degree polynomial function, having negative leading coefficient, such that:

`f(x) = -x^3 + x^2 - x + 1`

The graph of the polynomial is sketched below, such that:

You should notice that the graph descends from the quadrant 2 (where it starts) to the quadrant 4 (where it ends).

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