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2 years ago

What is the end behavior of the polynomial function?

Mathematics

2 answers:

Bad White [126]2 years ago

8 0

Answer:

Polynomial function has odd degree and leading coefficient is negative.

Step-by-step explanation:

Given graph : polynomial function graphed .

To find : Which expression is a possible leading term for the polynomial function .

Solution : We have given that

Graph with left end down and right end up.

By the end point behavior : If the degree of polynomial function is odd and

leading coefficient is negative then left end is up and right end is down.

We can see from the given option

it is f(x) → +∞, as x → −∞

f(x) → −∞, as x → +∞

Therefore, Polynomial function has odd degree and leading coefficient is negative.

irina [24]2 years ago

7 0

As x approaches infinity, y approaches negative infinity
As x approaches negative infinity, y approaches infinity

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One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table i

Mkey [24]

Answer:

Table C

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Find the value of the constant of proportionality in each table

Table A

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-3$ ------> $k=-3/-1=3$

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=3$ ------> $k=3/1=3$

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=4$ ------> $k=4/2=2$

This table has the same value of k

therefore

the table C represent a proportional relationship

Table D

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=6$ ------> $k=6/2=3$

This table has different values of k

therefore

the table D does not represent a proportional relationship

3 0

3 years ago

Read 2 more answers

What is the y-value when x equals -12.

Gala2k [10]

Answer:

-128 it’s on the table

Step-by-step explanation:

4 0

2 years ago

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The shirts cost a $150 for a 100 shirts how much per shirt

Rufina [12.5K]

Answer:

$1.5 per shirt if that's what you meant

Step-by-step explanation:

5 0

2 years ago

Peter is plotting equivalent ratios on the coordinate plane. He has plotted these points. Equivalent Ratios If he plots a point

german

Answer:

the answer is 3

Step-by-step explanation:

it just is

3 0

2 years ago

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A 2.2 kg ball strikes a wall with a velocity of 7.4 m/s to the left. The ball bounces off with a velocity of 6.2 m/s to the righ

Naya [18.7K]

Answer:

The constant force exerted on the ball by the wall is 119.68 N.

Step-by-step explanation:

Consider the provided information.

It is given that the mass of the ball is m = 2.2 kg

The initial velocity of the ball towards left is 7.4 m/s

So the momentum of the ball when it strikes is = $2.2\times 7.4=16.28$

The final velocity of the ball is -6.2 m/s

So the momentum of the ball when it strikes back is = $2.2\times -6.2=-13.64$

Thus change in moment is: $16.28-(-13.64)=29.92$

The duration of force exerted on the ball t = 0.25 s

Therefore, the constant force exerted on the ball by the wall is:

$\frac{29.92}{0.25}=119.68$

Hence, the constant force exerted on the ball by the wall is 119.68 N.

6 0

3 years ago