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

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

Step-by-step explanation:

We need to find the end behaviour of

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:

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

d

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: