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) b) f(x) = (x + 3) (x − 3)² d) f(x) = x(x+3)(x - - 3)² What is the equation of a 4th doaroo function with zeros at 2 12 VENDO -12 -14 -16

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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) ƒ (x) = (x + 3)(x − 3)
c) f(x) = x(x —− 3)(x+3)
b) ƒ(x) = (x + 3)(x − 3)²
d) f(x) = x(x + 3)(x − 3)²
What is the equation of a 4th degrao function with zoros at 2
12
-7-6-5-4-2-1
16
14
12
10
6
4
2
+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) ƒ (x) = (x + 3)(x − 3) c) f(x) = x(x —− 3)(x+3) b) ƒ(x) = (x + 3)(x − 3)² d) f(x) = x(x + 3)(x − 3)² What is the equation of a 4th degrao function with zoros at 2 12 -7-6-5-4-2-1 16 14 12 10 6 4 2 +2 -8 -10 -12 -14 -16 2 4 5 6 7 X
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