Which of the following statements are true regarding the graph of the cubic polynomial f(x) = x

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Which of the following statements are true regarding the  graph of the cubic polynomial f(x) = 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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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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