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Which of the following are true for a function of odd degree with a negative leading coefficient? a) as x-∞, f (x) →∞ and as x →∞, f(x) →∞ b) as x→∞, f (x) → ∞ and as x→∞, f (x) -∞ c) as x→∞, f (x) →∞ and as x →∞, f (x) →-x d) as x→∞, f (x) and as x →∞, f(x) →∞ -8

Which of the following are true for a function of odd degree with a negative leading coefficient? a) as x-∞, f (x) →∞ and as x →∞, f(x) →∞ b) as x→∞, f (x) → ∞ and as x→∞, f (x) -∞ c) as x→∞, f (x) →∞ and as x →∞, f (x) →-x d) as x→∞, f (x) and as x →∞, f(x) →∞ -8

Advanced Engineering Mathematics
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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3. 4. Which of the following are true for a function of odd degree with a negative leading coefficient? a) as x → -∞, f (x) → − ∞ and as x →∞, f (x) →∞ b) as x→∞, f (x) → ∞ and as x → ∞, f (x) ⇒- c) as x ⇒ − ∞, f (x) → − ∞ and as x → ∞, f (x) → d) as x→∞, f (x) → ∞ and as x → ∞, f (x) → -∞ The equation of the function on the right is a) f(x) = (x + 3)(x − 3) c) f(x) = x(x − 3)(x + 3) –8 b) f(x) = (x + 3)(x − 3)² d) f(x) = x(x + 3)(x − 3)² -7-6-5-4-3-2-1 16 14 12 10 8 6 4 2 1 2 -8 -10 -12 -14 -16 2 4 5 6 7 X
Transcribed Image Text:3. 4. Which of the following are true for a function of odd degree with a negative leading coefficient? a) as x → -∞, f (x) → − ∞ and as x →∞, f (x) →∞ b) as x→∞, f (x) → ∞ and as x → ∞, f (x) ⇒- c) as x ⇒ − ∞, f (x) → − ∞ and as x → ∞, f (x) → d) as x→∞, f (x) → ∞ and as x → ∞, f (x) → -∞ The equation of the function on the right is a) f(x) = (x + 3)(x − 3) c) f(x) = x(x − 3)(x + 3) –8 b) f(x) = (x + 3)(x − 3)² d) f(x) = x(x + 3)(x − 3)² -7-6-5-4-3-2-1 16 14 12 10 8 6 4 2 1 2 -8 -10 -12 -14 -16 2 4 5 6 7 X
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