Which of the following statements are true regarding the graph of the cubic polynomial f(x) = x^3 + bx^2 + cx + d? (Give reasons for your conclusions.) It intersects the y-axis in one and only one point. It intersects the x-axis in at most three points. It intersects the x-axis at least once. For |x| very large, it behaves like the graph of y = x^3. It is symmetric with respect to the origin. It passes through the origin.
Answer
Which of the following statements are true regarding the graph of the cubic polynomial f(x)-3 bx2 cx d? Give reasons for your conclusions.) at intersects the y-axis in one and only one point. Trvi bt intersects the x-axis in at most threepose It intersects the x-axis at least once. (d) For lxl very large, it behaves like the graph of y-. аџе (e) It is symmetric with respect to the origin. (f) It passes through the origin