Determine whether the following statements are true and give an explanation or counterexample. a. If the zeros

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Determine whether the following statements are true and give an explanation or counterexample.

a. If the zeros of f' are -3, 1, and 4, then the local extrema of f are located at these points.

b. If the zeros of f" are -2 and 4, then the inflection points of f are located at these points.

c. If the zeros of the denominator of f are -3 and 4, then f has vertical asymptotes at these points.

d. If a rational function has a finite limit as x→∞, then it must have a finite limit as x→-∞.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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