find the intervals of the following:
1.(x-2)(x-3)(x+1)
2.x(x+3)(x-2)
3.(x+3)(x+1)(x-1)
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find the intervals of the following:
1.(x-2)(x-3)(x+1)
2.x(x+3)(x-2)
3.(x+3)(x+1)(x-1)
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1. (x-2)(x-3)(x+1): This is a cubic polynomial, and its possible x-intercepts are -1, 2, and 3. Therefore, the intervals of this function are (-∞, -1), (2, 3), and (3, ∞).
2. x(x+3)(x-2): This is a cubic polynomial, and its possible x-intercepts are -2, 0, and 3. Therefore, the intervals of this function are (-∞, -2), (0, 3), and (3, ∞).
3. (x+3)(x+1)(x-1): This is a cubic polynomial, and its possible x-intercepts are -1, 1, and 3. Therefore, the intervals of this function are (-∞, -1), (1, 3), and (3, ∞).