Answer:
It is b.
Step-by-step explanation:
When x is negative x^5 will also be negative.
f(x) = x^5 - 3x^3 + 2x + 4
As x --> -∞ x^5 will be the main factor for f(x) ---> -∞ .
Similarly x^5 will have the greatest influence when x ---> ∞, so f(x) ---> ∞.
Answer:
b
Step-by-step explanation:
The end behaviour is what happens when x gets larger and positive ( right hand end ) or larger and negative ( left hand end ) Tis is called the end behaviour as x → + ∞ and x → - ∞ respectively
For a polynomial the end behaviour is determined by the term of greatest degree.
For the given function
f(x) = [tex]x^{5}[/tex] - 3x³ + 2x + 4 ← degree 5 polynomial
The leading coefficient is positive
• Odd degree, positive leading coefficient, then
as x → - ∞, f(x) → - ∞
as x → + ∞, f(x) → + ∞
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• Odd degree, negative leading coefficient, then
as x → - ∞, f(x) → f(x) → + ∞
as x → + ∞, f(x) → - ∞
