What is the end behavior f(x) ?

What Is The End Behavior F(x) ?

Answers

Answer 1
Answer: Choice C)

[tex]\text{ as } x \to \infty, \ f(x) \to \infty\\\\\text{ as } x \to -\infty, \ f(x) \to -\infty[/tex]

In other words, as x gets really large in the positive direction, so does f(x).

As x gets really large in the negative direction, so does f(x). We can see that x and f(x) move in the same direction toward the same type of infinity.

In laymen's terms or in plain English, we can say that "The graph falls to the left and rises to the right". We don't worry about the wiggle motion in the middle, since all we care about is what's going on as x goes to either infinity.

"Falls to the left" means it goes down forever as we move leftward. "Rises to the right" means it goes up forever as we move to the right. This type of behavior of "falls to the left and rises to the right" is indicative of any odd degree polynomial where the leading coefficient is positive. In this case, it appears we're dealing with a cubic function of degree 3.


Related Questions


There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...​

Answers

Answer:

15 students walk to school

Step-by-step explanation:

42 - total students

42 - 23 = 19

----

23 girl students

19 male students

----

19 - 6 = 13

13 - 2 = 11

--

11 - 7 = 3

3 + 2 = 5

--

10 girls walk to school

5 boys walk to school

--

10 + 5 = 15

Help! I don’t understand.

Answers

Answer:

n exponent 5

Step-by-step explanation:

Answer:

[tex]n ^{5} [/tex]

inequalities Calculator weeb

Determine whether the equation has one solution, no solution, or infinite solutions.
Explain your reasoning.
9x + 2 = -4(x + 6)

Answers

Answer:

x=4.4

Step-by-step explanation:

9x+2 = 4x+ 24

5x+2 = 24

5x = 22

5x/5 = 22/5

x=4.4

i got one solution scream at me if im wrong

The answer is x=-2 hope this is it

I have a question. It is: 5x+2y=4 3x+6y=-12 Solve the system of equations by graphing. How do I input that on a Casio graphing calculator. Giving brainliest if it works. Thanks!

Answers

Answer:

Step-by-step explanation:

  [1]    5x + 2y = 4

  [2]    3x + 6y = -12

Graphic Representation of the Equations :

   2y + 5x = 4        6y + 3x = -12  

 

// Solve equation [2] for the variable  y  

 

 [2]    6y = -3x - 12

 [2]    y = -x/2 - 2

// Plug this in for variable  y  in equation [1]

  [1]    5x + 2•(-x /2-2) = 4

  [1]    4x = 8

// Solve equation [1] for the variable  x  

  [1]    4x = 8  

  [1]    x = 2  

// By now we know this much :

   x = 2

   y = -x/2-2

// Use the  x  value to solve for  y  

   y = -(/2)(2)-2 = -3  

Find the equation of the line between the points (10, – 5) and ( - 2,0).

Answers

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]

Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]

Which set of ordered pairs represents y as a function of x?

Answers

it would be letter D

The nth term of the sequence is n^2 + 20
How many terms in the sequence are less than 50

Answers

Answer:

5 terms

Step-by-step explanation:

nth term of the sequence =n^2 + 20

an= n^2 + 20

1st term when n= 1

1^2 + 20= 20

2nd term n= 2

2^2 + 20=24

3rd term when n= 3

3^2 + 20= 29

4th term when n= 4

4^2 + 20= 36

5th term when n= 5

5^2 + 20 =45

6th term when n= 6

6^2 + 20=56

Hence, terms in the sequence are less than 50 are first 5 terms

Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of acres, a, and the bushels of corn, c, the farm produces.
Which equation models the relationship between the independent and dependent variables?

A) a = 45c B) c = 45a C) a = 45 + c D) c = 45 + a

Answers

Answer:

c=45a

Step-by-step explanation:

for the first one it shows 45x1=45. second shows 45x2=90. thats the patter.

question is below
will give brainliest to best answer

Answers

Answer:

Step-by-step explanation:

think its c

plss helppp againnnn brainliesttt

Answers

As all real number I think

as a town gets smaller the population of its high school decreases by 5% each year. The senior class has 160 students now. In how many years will it have about 100 students? Write an equation. Then solve the equation without graphing. Write an equation to represent the situation. Let n be the number of years before the class will have 100 students.

Answers

Answer:

T_n = 160(0.05)^(n - 1)

At T_n = 100, n = 1 year

Step-by-step explanation:

We will use geometric progression to solve this question.

Formula for nth term of a GP is;

T_n = ar^(n - 1)

We are told the population of its high school decreases by 5% each year.

This means r = 0.05

senior class has 160 students. Thus a = 160

Thus,T_n = 160(0.05)^(n - 1)

Where n is number of years after now.

We want to find the number of years before the class will have 100 students

Thus;

160(0.05)^(n - 1) = 100

(0.05)^(n - 1) = 100/160

(n-1)In 0.05 = In (100/160)

-2.9957(n - 1) = -0.47

(n - 1) = 0.47/2.9957

n = 1 + 0.1569

n = 1.1569

Approximating to the nearest whole number gives n = 1

NEED TO TURN IN NOW PLEASE HELP ME ​

Answers

Attached below...
Always happy to help!

A mattress 39 inches wide×80 inches long× 11 inches high. How many will fit in a 30 yard dumpster at 8 feet wide × 22 feet long × 6 feet high. It holds 30 cubic yards of waste.

Answers

Hiiiiiiiiiiiiiiiiiiiiiiiiiiii

What is the measure of < c in quadrilateral ABCD?

Answers

Answer:

the sum of interior angles of a quadrilateral = 360 degree

Step-by-step explanation:

therefore,

let the angle C be X

124 + 96 + 94 + X = 360

314 + X = 360°

X = 360 - 314 = 46°

angle C = 46°

Answer:

46 degrees

Step-by-step explanation:


The number 160 is increased by 50%. The result is then decreased by 25%. What is the final number?
The final number is what?

Answers

Answer:

60

Step-by-step explanation:

50%=.50

160×.50=80

160+80=240

25%=.25

240×.25=60

60 is the final number

Solve for x. 2x−5=−x+7

Answers

Answer:

x = 4

Step-by-step explanation

2x−5+x=−x+7+x

3x−5=7

3x−5+5=7+5

3x=12

x=4

Answer:

x = 4

Step-by-step explanation:

You need to isolate the variable on one side first so that the equation is easier to solve.  To do that, add x to both sides to get 2x + x, which is 3x.  This gets rid of the -x on the other side and results with the new equation

3x - 5 = 7.   Add 5 to both sides to get 3x = 12, then divide both sides by 3 to get x = 4.  

You can check your work by plugging in 4 for x.  

2(4) - 5 = -(4) + 7

8 - 5 = 3

3 = 3

Therefore, x is equal to 4.  

Hope this helped!  Have a good day!  

30 [tex]30\geq 5[/tex]

Answers

30 is more than 5 not exactlt know what ur looking for here?

having trouble with fractions
z-2/5=1/3​

Answers

Answer:

z=11/15

Step-by-step explanation:

z=1/3+2/5=1x5/15+2x3/15=5/15+6/15=11/15

need help i dont know what I am doing

Answers

Answer:

answer below:)

Step-by-step explanation:

Basically, start off by simplifying each pair of numbers.

The first one: [tex]2^{2}[/tex] x 5 = 4 x 5 = 20

The second one: [tex]11^{1}[/tex]= 11

The third: [tex]8^{2}[/tex]-60 = 64 - 60 = 4

Now from least to greatest, so that would be 4, 11, 20 or in this case it would then be [tex]8^{2}[/tex]-60,  [tex]11^{1}[/tex],  [tex]2^{2}[/tex] x 5

Hope it helped, good luck!!

A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?

Answers

Answer:

The length has increased by a factor of 4/3 or 1 1/3

Step-by-step explanation:

To find the initial length.: root 36.

Root 36 = 6

Then to find the increased version, first find the area: 36 + 28 = 64

Now, the length.

Root 64 = 8

To find the factor it increased by:

6x = 8

x = 8/6 = 4/3

The length has increased by a factor of 4/3 or 1 1/3

An item was sold for Rs 540 with a profit of 5% . What was its cost price?

Answers

The cost price is 513.

Method: 540 x 95% = 513

Hope this helps!

The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?

Answers

Answer:

P(0.8<  p ^ <0.9)≈0.87

Step-by-step explanation:

trust me

The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.

We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.

The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:

SD = √((p × (1 - p)) / n)

Plugging in the values, we get:

SD = √((0.85 (1 - 0.85)) / 120)

= √(0.01225 / 120)

= √(0.0001010417)

= 0.0101

Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.

Therefore, the required probability is approximately 0.919.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

The histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited 60 minutes or less?

A) 2 students

B) 4 students

C) 5 students

D) 9 students

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Answers

Answer:

D

Step-by-step explanation:

.7 pls :P need this so I don’t fail math

Answers

Answer:

B

Step-by-step explanation:

distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !

Find the factors of the equation a² + 8a + 16.
(it's urgent)

Answers

Answer:

(a+4)^2

Step-by-step explanation:

Answer:

hope help you stay happy

9 1/4 - 4 5/6
please answer and i answer for u

Answers

Answer:

the answer is 4

Step-by-step explanation:

Exact Form:
53/12

Decimal Form:
4.416

Mixed Number Form:
4 5/12

What is the GCF?
6x² + 24x

Answers

Answer:

6x

6x(x + 4)

Step-by-step explanation:

Both 6x^2 and 24x are divisible by 6x

Can some one answer this?

Answers

9514 1404 393

Answer:

  (c)  2

Step-by-step explanation:

A graph shows the zeros are -5, -3, 0, 2. Of these, only 2 is on your list.

  2 is a zero of the expression

A boat can travel 128.8 miles on 16.1 gallons of gasoline. How far can it travel on 9.4 gallons?

Answers

128.8/16.1 = x/9.4
x= (128.8*9.4)/16.1
X=75.2
So the answer is 75.2

Complete the number sentence to solve. Eight girls share 7 sandwiches equally. How many sandwiches does each girl get? 7 ÷ = Each girl's share is of a sandwich.

Answers

Answer: Each girl gets 7/8 or 0.875 of the sandwich .  

Step-by-step explanation:

Number of sandwiches = 7

Number of people to share = 8

Therefore  Each girl gets =  7 ÷ 8= 7/ 8

Each girl gets 7/8 or 0.875 of the sandwich .  

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