Question

Idk what end behavior for this?

Answer 1

b

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) =
`x^(5)` - 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) → - ∞

Answer 2

It is b.

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) ---> ∞.