Question

Gina Wilson, all things algebra unit 5 homework 2

Answer 1

We have that for the Question,it can be said that these the various graphs and polynomials have the following deductions

1)

Even degree

Negative leading coefficient

• Second graph

2)

Odd degree

Positive leading coefficient

• 1st Graph

3)

The end behaviour of the 14th diploma polynomial is that it will increase to infinity.

4)

The polynomial will have a tendency to infinity.

Generally

The end behavior of a polynomial graph draws reference from the starting direction and its end direction or the ends of the x axis

Where

Graph 1

$f(x)= -\infty (Left)\\\\f(x)= +\infty (Right)$

A Graph of even or odd degree bears the following lead co-efficient characteristics

Even

$f(x) -> \infty \ as x -> \pm \infty \\\\f(x) -> -\infty \ as x -> \pm \infty$

Odd

$f(x) -> -\infty \as x -> - \infty\\\\f(x) -> \infty \ as x -> \infty$

Therefore

• 1st Graph

Positive leading coefficient

Odd degree

• Second graph

Negative leading coefficient

Even degree

3)

Even Numbered degree typically have the identical give up behavior for the two ends. This his due to the fact that if N is a entire number,

-A^2=A^2  

Due to the fact the Leading coefficient is positive, and a variety with an even exponent is additionally positive,  end behaviour of the 14th diploma polynomial is that it will increase to infinity.

4)

The ninth degree polynomial  as we have a leading coefficient and a abnormal exponent.  

Then as x tends to infinity, the polynomial will have a tendency to terrible infinity. as x tends to -ve infinity, the polynomial will have a tendency to infinity.

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