Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options.

There are three unique solutions to the function when y=0.

The function has a double root.

As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.

As x approaches negative infinity, y approaches positive infinity.

The domain and range of the function are the set of real numbers.

Answers

Answer 1

Answer:

(B) The function has a domain of all real numbers.

(C) The function has a range of {y|–Infinity < y < Infinity}.

(E) The function passes through the point (3, –27).

Step-by-step explanation:

Answer 2

The statements are true.

What is faction?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given function is:

f(x) = x³- 4x² - 3x + 18

After plotting its graph can see the graph of the function.

The statements that are true are:

As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.

You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.

f'(x) = 3x² - 8x - 3

As the leading coefficient is positive, the arms open up, and f'(0) = -3

Then is easy to see that from left to right, is positive, then negative, and then positive again.

The domain and range of the function are the set of real numbers.

For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.

And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).

The function has a double root.

Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)

To learn more about function visit:

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Related Questions

Whats 2+2 tho
Cuz i uh forgot..yea

Answers

Answer:

I gotchu fam ..... 2+2=4

Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.2 × 105 words.

Answers

I believe the answer is .09625 hours

Explanation: first you do 2.2 x 105= 231
Then you do 231/40=5.775 to get how many minutes it takes to type 231 words. Then u divide 5.775/60 to get how many hours it would take.

A father receives a postcard from his son who is
away at college. It simply reads
SEND
MORE
MONEY
The father is slightly upset that this is all his son
wrote but noticed something interesting. If each
letter is replaced with a single and unique digit, it
would make a true addition statement. The father
replies that he would send money if his son could
figure out what digit each letter would represent.

Answers

Answer:

S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2

Step-by-step explanation:

The given letters are;

SEND

MORE

MONEY

If we are to add the first two words to get the third word, then we have;

SEND + MORE = MONEY

Where, the letters are unique digits

The maximum value of M = 1, because, the two words are in thousands and their sum is in tens of thousands, they can make up to only a 10

Therefore, S = 9

O = 0

D + E = 10 + Y

1 + N + R = 10 + E

1 + E  = N

∴ 1 + N + R = 10 + E gives;

1 + 1 + E + R = 10 + E

R = 10 + E - (1 + 1 + E) = 8

R = 8

We have;

9 XXX + 108X = 10XXX

From 1 + N + R = 10 + E, we have;

1 + N + 8 = 10 + E

END + RE = NEY

E(1 + E)D + 8E = (1 + E)EY

(1 + E)EY - E(1 + E)D = 8E

10 + Y - D = E

By trial and error, we have;

If Y = 2 and D = 3, we have E = 9 which is not unique

Y = 4 and D = 3, we have E = 11 which is a double digit

Y = 2 and D = 7, we have E = 5

∴ N = 6 which is unique

Trying the combination gives;

S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2

SEND + MORE = MONEY → 9567 + 1085 = 10652 which is correct.

Solve for x

(x+3)^2

x^2 + 3x + 2
2x^2 + 3x + 2
x^2 + 6x + 2
x^2 + 6x + 9

Answers

x^4+6x^3+35x^2+18x+9

All I can figure out sorry

Given the following function, find f(-2), f(0), and f(1).
f(x) = 5x +5

f(-2) =

Answers

F(-2)=-2f done hiiiiiiiiiiiiiiiiiiiiii

Answer:

f(-2) = -5

f(0) = 5

f(1) = 10

Step-by-step explanation:

f(-2) = 5(-2) + 5 → -10 + 5 = -5

f(0) = 5(0) + 5 → 0 + 5 = 5

f(1) = 5(1) + 5 → 5 + 5 = 10

help me please!!!!!!!!!!!!!!!!!​

Answers

im not for sure but Step-by-step explanation: 3,000=102938884.00919377299

Answer:

3,000=102938884.00919377299

Step-by-step explanation:

Jeremiah dad Ordered five large pepperoni pizzas in each large cheese pizzas for the birthday party he spent a total of 144 on pizza if a pepperoni pizza cost 12 right and solve a linear equation to find the cost of a cheese pizza

Answers

This question is incomplete because part of the information is missing; here is the complete question:

Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.

The answer to this question is $10.50

Explanation:

The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:

1. In an equation there is always an equality symbol = and mathematical expressions on both sides.

2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.

3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)

4. Solve the equation

5 (12) + 8x = 144 -Simplify using multiplication

60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol

8x = 144 - 60

8x = 84

x = 84 ÷ 8

x = 10.5

3(2x+4)=-18
What is x and how do you solve

Answers

Answer:

x=1

Step-by-step explanation:

divide by 3 and then -4 and then divide by 2

POLYNOMIALS QUESTION!!!

Answers

Answer:

The new area of the smaller rectangle is 16 - x² units²

Step-by-step explanation:

The dimensions of the small rectangles are 2 + x and 2 - x

∵ The length of the small rectangle is 2 + x units

∵ The length is adding by 2 units

The new length = 2 + x + 2 = 4 + x units

∵ The width of the small rectangle is 2 - x units

∵ The width is adding by 2 units

The new width = 2 - x + 2 = 4 - x units

Area of the rectangle = length × width

∴ The new area of the smaller rectangle = (4 + x) × (4 - x)

→ Simplify it by multiplying the 2 brackets

∵ (4 + x)(4 - x) = (4)(4) + (4)(-x) + (x)(4) + x(-x)

∴ (4 + x)(4 - x) = 16 + (-4x) + 4x + (-x²)

→ Remember (+)(-) = (-)

∴ (4 + x)(4 - x) = 16 - 4x + 4x - x²

→ Add the like terms

(4 + x)(4 - x) = 16 - x²

The new area of the smaller rectangle is 16 - x² units²

Identify the phrase that relates to the study of geography.
A. a record of events over time and their meanings
B. the effect living and nonliving things have on each other
C. the creation and use of goods and services
D. the study of rocks and fossils

Answers

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did the test in MIddle school and its in the lesson that's where I found it so next time ur stuck on a question look at the lesson then if your stilll stuck ask brainly k?

Construct a line through R that is perpendicular to the line​

Answers

Answer: just did it 3 secs. ago

Step-by-step explanation:

The answer is shown below.

Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.

Therefore, the Construction of a line through R that is perpendicular to the line is shown below:

Know more about perpendicular lines here:

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In the diagram, AABC = ADEF . Find the values of x and y.

Answers

Answer:

x = 1

y = 46

Step-by-step explanation:

assuming AB = DE and angle F = angle C,

set 4x - 6 = 10", solve for x...

4x = 4, x = 1

set 14x + y = 60°, substitute 1 for x then solve for y...

14 + y = 60°, y = 46

Select the ordered pair that represents a solution to the equation x + 4y = 35.

(0,35)

(3,8)

(3,9)

(8,3)

Which one is it?

Answers

Answer: (3,8)

Original Equation: x + 4y = 35

Substitute: (3) + 4(8) = 35

Simplify: 3 + 32 = 35

Answer: 35 = 35
It’s (0,35) because
Subtract 4y from both sides and it will be x=35-4y

Need help ASAP please ‼️‼️

Naomi is planning a holiday. The hotel costs $80 every night she stays and the flight costs $250,
She has a budget of $700 for her hotel and flight. How many nights will she be able to stay at
the hotel without going over her budget?

Answers

Answer:

5 nights

Step-by-step explanation:

# of nights= budget - flight {divided by} price per night

                 = 700$ - 250$ {divided by} 80$

                 = 450$ {divided by} 80$

                 = 5.6

                 =5 (round down)

Answer:

she will be able to stay 5 nights at the hotel

the second awnser and the third awnser.

Step-by-step explanation:

if the flight costs $250 and a night at the hotel costs $80 then 5 nights would equal $400 and then you would add the flight costs and it would equal $650. it can't be 6 nights cause she would go over her budget.

You are given a rectangular sheet of metal that is 32 inches by 24 inches. You are required to cut a lenght from each corner of the sheet so that you may fold up the ends and create a box. What is the domain of the function you will use to find the volume of the box? Explain your answer.

Answers

Answer: 768

Explanation In order to find the domain you have to multiple 32 by 24 which gives you 768.

can someone help me!!!​

Answers

Answer:

x=81

Step-by-step explanation:

evaluate −5x+8 when x=3.

Answers

Answer:

-7

Step-by-step explanation:

-5(3) +8

-15+8

7

Answer:

plug x in

-5 (3) + 8

-15 + 8

-7

Step-by-step explanation:

The lines below are perpendicular . If the slope of the green line is 3/2 , what is the slope of the red line?​

Answers

Answer:

If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B.

Hope this helps!

what does x equal 20 - 3x = 8

Answers

Answer:

x = -4

Step-by-step explanation:

Rewrite: -3x = -12

Divide: x = -4

(2+2+2+2+2) 90^5 x 50 divided by 100 ..

Answers

Answer: 5000000000..........

A football team scored a total of 41 points in a Sunday game. They scored 7 points in the first quarter, 10 points in the second quarter, and 7 points in the third quarter. How many points did the team score in the fourth quarter?

Answers

41 - 7 - 10 - 7 = 41 - 24 = 17.

The team scored 17 points in the last quarter.

Given the function g(x)=x^2+3 ,evaluate (-2,y)

Answers

Answer:

im not sure if this is what you're looking for but g=x^4 and the y intercept is g(0)=0

Step-by-step explanation:

In eight minutes josh was able to type 496 words what’s he typing speed per minute

Answers

Answer: 62 words per minute.

Step-by-step explanation: 496/8=62.

Answer:

62 words per minute

Step-by-step explanation:

divide 496 and 8

HELP PLS HOW DO U DO THIS

Answers

Answer:

10

Step-by-step explanation:

1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.

Answer:

10

Step-by-step explanation:

24 ÷ 3 = 8 so one third is 8

24 ÷ 4 = 6 so one fourth is 6

8 + 6 = 14 (14 people brought drinks or dessert)

24 - 14 = 10

ten people brought chips.

Non example of complex fraction.

Answers

Answer:

42/6

Step-by-step explanation:

:P

Does someone know how to find the area of this?

Answers

Answer:

Lenthg times width

Step-by-step explanation:

length times width !

At the beginning of the month, Shiloh made 65 servings of trail mix. By the end of the month, she had 48 servings of trail mix left. Which equation could be used to find x, the number of servings of trail mix that had been eaten during the month?

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer is 65 - x = 48

Step-by-step explanation:

William's bank account balances after weekly deposits are showing in the following table.
0
1
2.
3
4
Weeks
Total Balance
(5)
30
44
58
72
86
After 10 weeks, how much money would William have in his bank account? Show your work.
O A. 170
B. 140
C. 165
D. 314

Answers

Answer:

The answer is 170

Step-by-step explanation:My teacher told me... ADD ME ON TICTOC OHH.ITZJA33I

Question 2 (1 point)
Explain how you used the distribute property to find an equivalent expression for
4 (3+x)
ANYONE ITS WORTH 10 POINTS PLEASE???

Answers

an equivalent expression would be 12+4x bc u used the distribution property

look at the picture &’ help.

Answers

Step-by-step explanation:

the first option is the answer because the exponent always stands base 10 power a value or (10^n)

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