what do u mean by Law of Trichotomy and Quadratic Functions: explain briefly the

Question

what do u mean by Law of Trichotomy and Quadratic Functions: explain briefly the various conditions.

Explanation / Answer

for a quadratic function f(x) = ax2 + bx + c. From the Law of Trichotomy it follows that exactly one of the following is true about the leading coefficient: a < 0 and the parabola opens down. a = 0 and the function is not quadratic. a > 0 and the parabola opens up. Also from Law of Trichotomy it follows that exactly one of the following statements about the discriminant is true: b2 - 4ac < 0 and the parabola has no x-intercepts. b2 - 4ac = 0 and the parabola has exactly one x-intercept. b2 - 4ac > 0 and the parabola has two x-intercepts. Pairing each of the two possibilities for the leading coefficient with each of the three possibilities for the discriminant

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.