Find the interval in which the function is positive x^2-x-6=y
2 answers:
9514 1404 393
Answer:
(-∞, -2) ∪ (3, ∞)
Step-by-step explanation:
The function can be factored as ...
(x +2)(x -3) = y
The leading coefficient is positive, so the parabola opens upward. It will be positive up to the left-most zero, and positive again to the right of the right-most zero. That is, the function is positive everywhere outside the interval [-2, 3], where it is not.
The function is positive on (-∞, -2) ∪ (3, ∞).
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