Question

Find the interval in which the function is positive x^2-x-6=y

Answer 1

(-INFINITY , -2) (3 , INFINITY)

Function is positive when above the x axis

Function is below the x axis between -2 and 3

Answer 2

9514 1404 393

Answer:

(-∞, -2) ∪ (3, ∞)

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, ∞).