Question

The end behavior of F(x) = 2x2 -8x +3

Answer 1

We can say that the end behaviour of polynomial is increasing going up if x is positive or negative,

Explanation:

We need to find the end behaviour of
`F(x) = 2x^2 -8x +3`

For finding the end behaviour we need to find the degree of polynomial.

Degree of Polynomial:

The term with the largest exponent is termed as degree of polynomial.

Finding degree of polynomial:
`F(x) = 2x^2 -8x +3`

So, the term with largest exponent is 2x^2, so the degree is 2

The dgeree of polynomial is even.

When the degree of polynomial is even, if we plug positive values in x and approaches to ∞ aur function F(x) also approaches to ∞

i.e. if x --> ∞ F(x) --> ∞

Now, if we plug negative values in x and approaches to -∞ our function F(x) also approaches to ∞

i.e. if x --> -∞ F(x) --> ∞

So, we can say that the end behaviour of polynomial is increasing going up if x is positive or negative,

It can be understood by the graph attached