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If the degree of the polynomial is Even and leading coefficient is positive then

F(x) -> ∞, as x -> -∞ and also F(x) ->∞ as x -> +∞

If the degree of the polynomial is Even and leading coefficient is negative then

F(x) -> -∞, as x -> -∞ and also F(x) -> -∞ as x -> +∞

If the degree of the polynomial is Odd and leading coefficient is positive then

F(x) -> ∞, as x ->∞ and also F(x) ->-∞ as x -> -∞

The degree of this function is 4, its even number

We can see the leading coefficient,

That is positive.

So the end behaviour is

F(x) -> + ∞, as x -> -∞

F(x) -> + ∞, as x -> ∞

The degree of this function is 3, its odd number

We can see the leading coefficient,

That is positive.

So the end behaviour is

If the degree of the polynomial is Odd and leading coefficient is positive then

F(x) -> ∞, as x ->∞ and also F(x) ->-∞ as x -> -∞

F(x) -> + ∞, as x -> -∞ and F(x) -> + ∞, as x -> ∞