Which of the following statements are true

Chapter 4, Problem 119

(choose chapter or problem)

Which of the following statements are true regarding the graph of the cubic polynomial function f1x2 = x3 + bx2 + cx + d? (Give reasons for your conclusions.) (a) It intersects the y-axis in one and only one point. (b) It intersects the x-axis in at most three points. (c) It intersects the x-axis at least once. (d) For |x| very large, it behaves like the graph of y = x3. (e) It is symmetric with respect to the origin. (f) It passes through the origin.

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