1. Match the polynomial with its end behavior.
A. f(x) = -2x + 3
B. f(x) = x2 - 6x + 3
1. As x gets larger and larger in either
the positive or negative direction,
f(x) gets larger and larger in the
positive direction.
C. f(x) = 1 – x2 + 2x3
D.f(x) = 7 - x4
DE
2. As x gets larger and larger in the
positive direction, f(x) gets larger
and larger in the positive direction.
As x gets larger and larger in the
negative direction, f(x) gets larger
and larger in the negative direction.
3. As x gets larger and larger in the
positive direction, f(x) gets larger
and larger in the negative (help please)direction.
As x gets larger and larger in the
negative direction, f(x) gets larger
and larger in the positive direction.
4. As x gets larger and larger in either
the positive or negative direction,
f(x) gets larger and larger in the
negative direction.

1. Match The Polynomial With Its End Behavior.A. F(x) = -2x + 3B. F(x) = X2 - 6x + 31. As X Gets Larger

Answers

Answer 1

Using limit concepts, the matching pairs are:

A - 3

B - 1

C - 2

D - 4

The end behavior of a function f(x) is given by it's limit as x goes to infinity.

Function A:

[tex]f(x) = -2x + 3[/tex], then:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -2x = -2(-\infty) = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) \lim_{x \rightarrow -\infty} -2x = -2(\infty) = -\infty[/tex]

Thus, inverse directions, so matching pair with 3.

Function B:

[tex]f(x) = x^2 - 6x + 3[/tex], then:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} x^2 = (-\infty)^2 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) \lim_{x \rightarrow -\infty} x^2 = (\infty)^2 = \infty[/tex]

Always positive, so matching pair with 1.

Function C:

[tex]f(x) = 1 - x^2 + 2x^3[/tex], then:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 2x^3 = 2(-\infty)^3 = -\infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) \lim_{x \rightarrow -\infty} 2x^3 = 2(\infty)^3 = \infty[/tex]

Same directions, thus, matching pair with 2.

Function D:

[tex]f(x) = 7 - x^4[/tex], then:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -x^4 = -(-\infty)^4 = -\infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) \lim_{x \rightarrow -\infty} -x^4 = -(\infty)^4 = -\infty[/tex]

Always negative, so matching pair with 4.

A similar problem is given at https://brainly.com/question/9368215


Related Questions

help! 30 points if you help

Answers

Answer:

the first, the third and the last one are true

Step-by-step explanation:

Describe the translation in each function. Then graph the function.

Y=x^2 + 4

Please give a detailed answer I don't understand

Answers

It's a Quadratic that doesn't have any real roots as the parabola doesn't cross the x-axis.

For graphing:

If you're familiar with the parabola of y=x^2, then you could graph that but just translate it upwards by +4 on the y such that f(x)+4 will be equal to it.

If you aren't, then we know the y-intercept is 4, and that's also the point of the minimum point of the curve. If I were you, I'd write a table of some of the integer values:

x y

-2 8

-1 5

0 4

1 5

2 8

The value of y is the same for x and -x as anything squared is positive.This means that there is a line of symmetry in the y-axis.

This then makes it much easier to graph, simply place these points on the graph and make sure the curve is exponential. This means the gradient (steepness) gets greater the bigger the value of x.

5
What is the measure of the angle shown?
will give brainliest

Answers

Answer:

between 180 and 365 cuz it's a reflex angle

find the square root of 196 with process.​

Answers

Answer:

The square root of 196 is 14

Step-by-step explanation:

Prime factorization of 196:

2² × 7²

Prime factors of 196 in pairs:

(2 × 2) × (7 × 7)

Now square root of 196:

√196 = √(2 × 2) × (7 × 7) √196 = √(2 × 7)²√196 = (2 × 7) = 14

Thus, The square root of 196 is 14

-TheUnknownScientist 72

Answer: [tex]\sqrt{196} =14[/tex]

Step-by-step explanation:

[tex]{\begin{array}{c|c}196 & 2 \\ 98&2 \\49 &7 \\7&7 \end {array }[/tex]         [tex]196=2\cdot 2\cdot 7\cdot 7=2^4\cdot 7^2 \\\\\sqrt{196} =\sqrt{2^2\cdot 7^2} =2\cdot 7=14[/tex]

An arcade charges a flat fee for $7 to enter and then $1.25 per ticket to play games. Write an equation that models the charges (C) in terms of the number of tickets (t) that you use: ​

Answers

Answer:

C = 7 + 1.25t

Step-by-step explanation:

7 remains constant

1.25 changes according to t

Answer:

C(t ) = 1.25t + 7

Step-by-step explanation:

We can establish the following equation:

C(t ) = 1.25t + 7

Where:

C(t ) = represents the total cost relative to the t  number of tickets used

t = number of tickets used to play games

1.25 = cost per ticket to play games

7 = flat fee to enter the arcade

The sum of three numbers is 21. The second number is two more than twice the first number. The second number is three times the third number. What are the numbers?

Answers

Answer:

The numbers are:

5, 12 and 4

Step-by-step explanation:

a + b + c = 21       Eq. 1

b = 2a +2             Eq. 2

b = 3c                   Eq. 3

From Eq. 2:

b - 2 = 2a

(b-2)/2 = a              Eq. 4

From Eq. 3:

c = b/3                     Eq. 5

Replacing Eq. 4 and Eq. 5 in Eq. 1:

(b-2)/2 + b + b/3 = 21

3(b-2)/6 + 6b/6 + 2b/6 = 126/6

3(b-2) + 6b + 2b = 126

(3*b + 3*-2) + 8b = 126

3b - 6 + 8b = 126

11b = 126 + 6

11b = 132

b = 132/11

b = 12

from Eq. 4

(b-2)/2 = a

(12-2)/2 = a

10/2 = a

a = 5

from Eq. 5

c = b/3

c = 12/3

c = 4

Check:

from Eq. 1

a + b + c = 21

5 + 12 + 4 = 21

WILL GIVE BRAINLIEST
7x+12+3x-2=180 ​

Answers

Answer:

x=17

Step-by-step explanation:

Answer:

X = 17

Step-by-step explanation:

Use M A T H W A Y  to solve equations

Which inequality models this problem?
Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per week for expenses. She earns $900 per week for general expenses.
What is the minimum number of weeks it will take for Reiko to make a profit?

a.) 900w ≥ 6500 + 550w
b.) 900w < 6500 + 550w
c.) 900w > 6500 + 550w
d.) 550w > 6500 + 900w

Answers

Answer:

C

Step-by-step explanation:

$6500 is a one time purchase so there is no variable attached.

$550 and $900 per week is reoccurring so there will be a variable attached.

Since $900 is what she is making each week, this will be separate from her costs (can eliminate D).

To make a profit, her amount earned will need to be greater than her expenses, so the answer is C.

Angle X and angle Y are complementary angles. If m

Answers

The question is not complete please copy question correctly

5 of 8
Here is a list of numbers:
-12, -19, 1, 8, 9, 13, -15, -19, 11, 0
-
State the median.

Answers

the median did between 0 and 1 so the answer is 0.5

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

A. -3a³-6a²+7a-13 Hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. -3a³-6a²+7a-13

Kathy is a scientist who is working in a remote part of Australia. She earns a salary of $86 840 plus a weekly allowance of $124.80 for working under extreme and isolated conditions. Calculate Kathy’s fortnightly pay.

Answers

Answer:

$3589.60

Step-by-step explanation:

Salary per fortnight {52 weeks in a year; 2 weeks in a fortnight}

= 86840 / 52 × 2

= 3340

Allowance per fortnight = 124.80 × 2 = 249.60

Therefore, total fortnightly pay is:

3340 + 249.60 = 3589.60

I need help asap, please

Answers

Answer:

Not congruent

Step-by-step explanation:

They are not congruent because in order of congruency will have an angle(the ones marked with red) -

side( the side that the two triangles shares so are congruent by reflexive property ) -

side ( the one marked with the red line)

and this is not a theorem of congruency.

HELP QUICKKK PLZZZZ HELP ME RESLLY QUICKK

Answers

She makes 3$ per week, so 3 times 4 is twelve. 12 - 10.25 is 1.75 or choice a

Answer:

$1.75

Step-by-step explanation:

help please i suck at math

Answers

Answer:

1. -.2x

2. -.2x

3. -27

Step-by-step explanation:

First add -.65x and .45x to get -.2x then divide 5.4 by -.2 to get x alone and you get x=-27

HELP QUICK!
a submarine is located 358 feet below sea level. it ascends 169 feet. At what depth is the submarine now

Answers

Answer:

Step-by-step explanation:

the answer is 189

169 is the answer for the question

Real numbers can be written in the form a b, where a and b are integers and b≠0, are called __________.

Answers

Answer:

Rational number

Step-by-step explanation:

.........

........

...

What is the equation for the graph?







y = 3/2x +2


y = 3/2x +3


y = -2/3x +3


y=-3/2x +3

Answers

Answer:

thank You for your points this is the answer

John's Phone is at 50%. It charges 5% every minute.

Answers

Answer:

The phone used 10 minutes to get to 50%, and 20 minutes to full


Louise left her home at 11 30 a.m. and cycled to the supermarket.
She got to the supermarket at 12 15 p.m.
Louise cycled at a speed of 12 mph.
(a) (Work out the distance Louise cycled.

Answers

We are asked to find the distance Louise cycled.

Speed Louise cycled = 12 mph

Time = 11: 30 am to 12 : 15 pm

= 45 minutes

Convert 45 minutes to hour

60 minutes = 1 hour

45 minutes = 3/4 hour

Speed = Total distance ÷ Total time taken

Distance = Speed × Time

= 12 mph × 3/4 hour

= 36 / 4

= 9 miles

Therefore, the total distance Louise cycled is 9 miles

Read more:

https://brainly.com/question/25005733

Perform the indicated operation. Be sure the answer is reduced.
3/n^2-9 + 7/3-n =

Answers

This is a basic algebraic fraction question

Step 1: Factor n2-9

Step 2: Rewrite the second fraction

Step 3: Write all the numerators under the least common denominator

Step 4: Expand bracket

Step 5: Collect like terms

Your parents bought a car for $15,750. The value of the car decreased to $11,025 over the next 3 years. What was the percent decrease in the value of the car?

Answers

The answer is 472.5%

2. What is the standard form of y = 2/5x - 6

Answers

Answer:

3rd option

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = [tex]\frac{2}{5}[/tex] x - 6 ( multiply through by 5 to clear the fraction )

5y = 2x - 30 ( subtract 5y from both sides )

0 = 2x - 5y - 30 ( add 30 to both sides )

30 = 2x - 5y , or

2x - 5y = 30 ← in standard form

Answer:

I hope this helps.

Step-by-step explanation:

ced: 7
Assignment: Lesson 2.12 & 2.13
13
Problem ID; PRABMTKN
Explain or show that the point (5,-4) is a solution to this system of equations:
3x - 2y = 23
2x + y = 6
Copied for free from grenupresources.org
Type your answer below:
INSERT IMAGE
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DRAW
File Edit View
Insert Format Tools Table

Answers

Answer:

2.15

Step-by-step explanation:

substitute using elimination method and divide ur answers together.

Please help me with this Question

Answers

Answer:

Total volume equals V1 - V2

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = 12\pi {r1}^{2} - 12\pi {r2}^{2} [/tex]

where:

r1 = radius 1

r2 = radius 2

Step-by-step explanation:

[tex]r1 \\ v1 = 12\pi {3.5}^{2} \: is \: approx. \: 461.81 {cm}^{3} [/tex]

[tex]r2 \\ v2 = 12\pi {3.3}^{2} \: is \: approx. \: 410.54 {cm}^{3} [/tex]

Total Volume v is

[tex]461.81 - 410.54 = 51.27 {cm}^{3} [/tex]

Find the missing angle
25 points plus a thanks, 5 star and brainliest

Answers

tan ? = 22/48

tan ? = 11/24

tan ? = 0.4583

? = 24.62 degrees ( approximately )

[tex]\tan(?)=\dfrac{22}{48} \\\\ ?=\arctan\dfrac{22}{48} \approx24^{\circ}[/tex]

2/3x−1/5x=x−1


Solve this equation

Answers

Answer:

x =  1.56  and x = − 0.56

Step-by-step explanation:

2/3x  - 1/5x  

(2/3 x  5)  -  (1/5 x 3 )

10/15 - 3/ 15

13 / 15x  

show x-1

13 / 15x   =   x - 1     here we cannot set to 0 so multiply the variable by 15x

15x^2

−15x−13 = 0

quad formula   - b+/-   sqrt (b^2 - 4 x a x c )  /2

x =1.556724499   and x =−0.556724499

Watch help video
Find the length of the third side. If necessary, round to the nearest tenth.
20
10
Answer:
Submit Answer
attempt 1 out of 2

Answers

Answer:

if it is a right angle triangle then;

step 1   Determine if hypotenuse or side

step 2 calculate a^2+b^2 = c^2  or c^2-b^2 = a^2 if not given hypotenuse.

if it is an obtuse or scalene triangle then

step 1.  Determine the triangle third length we use trigonometry as cos (side a/sideb) to determines the angle between a and b.

With such angle for opposite side we can use sin (angle) x side to find hypotenuse or sin(angle) x hypotenuse to find side.  

Step-by-step explanation:

Plsss help me with this question!!

Answers

Answer:

Step-by-step explanation

So mean is average

So total 26 hours studied

and there are 20 students

so 26/20

= 1.3

Which table represents a linear function?

Answers

Answer:

Table 2

Step-by-step explanation:

Table 1x- values change 1 to 4y- values change inconsistently and repeat at -2

This is not a linear function

Table 2x- values change 1 to 4y- values change consistently, with common difference of -2

This is a linear function

Table 3x- values change 1 to 4y- values change inconsistently, the difference is not common

This is not a linear function

Table 4x- values change 1 to 4y- values change inconsistently, the difference is not common

This is not a linear function

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