Given a polynomial with an even degree and a negative leading coefficient, select all of the following that are true. a. As x → ∞, y → ∞ b. As x → ∞, y → -∞ c. There can be at most n-1 zeros of the polynomial d. There can be at most n extrema of the polynomial e. There can be at least n-1 extrema of the polynomial f. None of these

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given a polynomial with an even degree and a negative leading coefficient, select all of the following that are true.

a. As x → ∞, y → ∞

b. As x → ∞, y → -∞

c. There can be at most n-1 zeros of the polynomial

d. There can be at most n extrema of the polynomial

e. There can be at least n-1 extrema of the polynomial

f. None of these

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