1. Which of the following statements about a polynomial function is true? a) A polynomial function of degree n has at most n turning points. b) A polynomial function of odd degree may have no zero. c) A polynomial function of degree n may have up to n distinct zeros. d) A polynomial function of even degree may have at least one zero. 2. Which of the following describe the ending behaviour of an odd-degree polynomial function with negative leading coefficient? a) As x→oy→0 and as x→-o,y→∞ b) As x→o.y→-∞ and as x→-0y→-∞ c) As x→oy→∞ and as x→-∞_y→-0 d) As x→∞y-→-∞ and as x→-∞y→∞
1. Which of the following statements about a polynomial function is true? a) A polynomial function of degree n has at most n turning points. b) A polynomial function of odd degree may have no zero. c) A polynomial function of degree n may have up to n distinct zeros. d) A polynomial function of even degree may have at least one zero. 2. Which of the following describe the ending behaviour of an odd-degree polynomial function with negative leading coefficient? a) As x→oy→0 and as x→-o,y→∞ b) As x→o.y→-∞ and as x→-0y→-∞ c) As x→oy→∞ and as x→-∞_y→-0 d) As x→∞y-→-∞ and as x→-∞y→∞
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Which of the following statements about a polynomial function is true?
a) A polynomial function of degree n has at most n turning points.
b) A polynomial function of odd degree may have no zero.
c) A polynomial function of degree n may have up to n distinct zeros.
d) A polynomial function of even degree may have at least one zero.
2. Which of the following describe the ending behaviour of an odd-degree polynomial function with
negative leading coefficient?
a) As x→0,y→∞ and as x→-∞y→∞
b) As x→0,y→-∞ and as x→-∞y→-∞
c) As x→0,y→∞ and as x→-∞,y→-∞
d) As x→o,y→-∞ and as x→-∞y→∞
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