Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior (19 points and brainliest)

Write The Domain And The Range Of The Function As An Inequality, Using Set Notations, And Using Interval

Answers

Answer 1

Answer:

Step-by-step explanation:

I think we need to define domain and range first.

Domain is the set of all x values where the function f(x) exists or is defined.

Range is the set of all y values that will result from substituting all x values (the domain) into the function.

So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.

So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.

The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.

The domain as an inequality would be -∞ < x < ∞

The range as an inequality would be -∞ < y < ∞

As a set notation:

Domain {x | -∞ < x < ∞}

Range {y | -∞ < x < ∞}

In interval notation:

Domain (-∞ , ∞)

Range (-∞ , ∞)

End behavior:

As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.


Related Questions

Xian and his cousin Kai both collect stamps. Xian has 52 stamps, and Kai has 72 stamps. The boys recently
joined different stamp-collecting clubs. Xian's club will send him 12 new stamps per month. Kai's club will
send him 8 new stamps per month. After how many months will Xian and Kai have the same number of
stamps? How many stamps will each have?
After
months Xian and his cousin will have
stamps each.

Answers

Answer:

Step-by-step explanation:

Let the x be the number of months.

In x months, xian will have:

                       (52+16x) stamps

and kai will have:

                     (76+12x)stamps

To find out how many months they will have the same number of stamps, we evaluate the two expressions:

52+16x=76+12x

52+4x=76

4x=24

x=6

So xian and kai will have the same number of stamps after 6 months.

Using either of two expressions, each will have:

52+16(6)=76+12(6)= 148 stamps.

Would appreciate if you could give brainiest have a great day

Answer:

6 months

Step-by-step explanation:

56+ 12x = 80 + 8x

Can someone answer all these for me please

Answers

5^3 is 15 i hope this helps im sorry if it didnt
First section
1. 169
2. 64
3. 81
4. 125
5. 4
6. 216
7. 2304
8. 27
9. 49

Second section
1. 4
2. 3
3. 5
4. 9
5. 1
6. 2
7. 7
8. 6
9. 10

Third section
1. 24
2. 3
3. 15(squareroot sign) 5
4. 18 (squareroot sign) 6
5. 6 (squareroot sign) 2
6. 72 (squareroot sign) 3
7. 21 (squareroot sign) 7
8. 0
9. 81

Which equation is in standard form?
A. -3(x + y) = 10
B. y = 4x + 2
C. 5x –y = 15
D. 0.5x + 6y = 1.9

Answers

B it’s a standard form y=mx+b

Write an equation in slope intercept form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

3x/10 - y/10 = 1

Step-by-step explanation:

(y-2)/(x-4)=3

y-2=3x-12

y-3x= -12

3x/10-y/10=1

Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Combine like terms. Write the resulting polynomial in standard form.

Answers

Answer:

-4g^4 -3g^3 + 4g^2 +5g +3

Step-by-step explanation:

g^2 + -4g^4 +5g +9 -3g^3 + 3g^2 -6

-4g^4 -3g^3 + 4g^2 +5g +3

Answer:

B

Step-by-step explanation:

I need help with this math problem please

Answers

Answer:

65 -3x = 55 -2.5x20 periods$5

Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

  65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

  55 -2.5x

The equation that can be used to find x that makes the values equal is ...

  65 -3x = 55 -2.5x

__

The solution can be found by adding 3x-55 to both sides of this equation.

  10 = 0.5x

Multiplying by 2 gives ...

  20 = x

After 20 30-day periods. the cards will have the same value.

__

The value after 20 periods is ...

  65 -3×20 = 65 -60 = 5

Both cards will have a value of $5 when they have the same value.

(If someone answers fast i will mark you brainliest ) Which ordered pair would form a proportional relationship with the point graphed below? (10, -20) (-30, 20) (-10, 5) (35, -20)

Answers

Answer:

(-10, 5)

Step-by-step explanation:

(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.

(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.

Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..

pt=3x9 and tq=5x-7 because i have no idea what it is

Answers

Answer:

i have the same question on my worksheet

Step-by-step explanation: its super hard need help too

samir had 2 apples , he ate 1 how many are left​

Answers

Answer:

1

Step-by-step explanation:

There was 2 apples. He ate 1.So 2-1=1.

1 apple is left.

Answer: 1

Step-by-step explanation: 2-1=1

Need help ASAP! 20 points:)))

Answers

Answer:

Addition Property of Equality

If a, b, and c are any real numbers, and a(b + c) = ab + ac, then (b = c) a = ba + ca.

the average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilograms? and in pounds? I NEED STEP BY STEP

Answers

Answer:

1.4

Step-by-step explanation:

you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms

Answer:

1.4

Step-by-step explanation:

Choose the three shapes that have an area of 36 square centimeters.
9cm
12 cm
A
4 cm
D
3 cm
9 cm
12 cm
B.
9 cm
E.
6 cm
6 cm
C.
6 cm

Answers

Answer:

6cm

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Where s = one side

s = ?

[tex]A = s^2\\\\36 =s^2[/tex]

Square root both sides

[tex]\sqrt{36} = \sqrt{s^2} \\\\6 =s[/tex]

Find an expression which represents the difference when (-8x-8y) is subtracted from (6x+y) in simplest terms.

Answers

The expression that represents the difference between the two algebraic expressions given is: 14x + 9y.

What is the Difference of Algebraic Expressions?

The difference between two algebraic expressions is simply gotten by subtract one from the other.

Thus, find the difference between the two algebraic expressions, (6x+y) and (-8x-8y).

(6x+y) - (-8x-8y)

Open the bracket

6x + y + 8x + 8y

Combine like terms

14x + 9y

Therefore, the expression that represents the difference between the two algebraic expressions given is: 14x + 9y.

Learn more about algebraic expressions on:

https://brainly.com/question/2164351

Pleaseeeeeee Help meee :(((((
(30 points)

Answers

Answer:

9

Step-by-step explanation:

d=rt

12x45/60

12x0.75

9=d

Answer:

Step-by-step explanation:

Which diagram represents a line of symmetry of the regular octagon?​

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Ella is buying a $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is $6 ​

Answers

Answer: the answer should be 99.5

Simplify fraction 4/28 and 24/80

Answers

Answer:

1. 1/7

2. 3/10

Step-by-step explanation:

4/28 can be divided by 4

24/80 can be divided by 8

applying the properties of operations, what is the value of the expression?

Answers

Answer:

What expression are we supposed to be answering this for?

Answer:

i think it is 3.875

Step-by-step explanation:

i'm so sorry if it's incorrect; good luck anyways :)

Put the following fractions in order of size starting with the one with the least value 5/16 1/2 3/4 5/8 1/4

Answers

Answer:

1/4, 5/16, 1/2, 5/8, 3/4

Step-by-step explanation:

Answer:

1/2 1/4 3/4 5/8 5/16 this is the right answer s

3. What is the slope of the line x = -5? (1 point)
O Undefined
O 0
O -5
O 5

Answers

Answer:

slope is undefined

Step-by-step explanation:

x = - 5 is the equation of a vertical line, parallel to the y- axis.

The slope of a vertical line is undefined.

BRAINLIEST TO THE FIRST 2 TO ANSWER

Answers

Answer:

ab + b²-ac-bc

b(a+b) -c(a+b)

(a+b) (b-c)

Step-by-step explanation:

Answer:

C. (b-c)(a+b)

Step-by-step explanation:

This i s because there is a positive b squared in the expanded equation so both brackets had to have had a positive b term in them.

(b-c)(a+b) expanded:

ab +b^2 -ac -bc

Hope this helped!

Its the same dropdown for every question, what is the answer for each one

Answers

Answer:

2.5y, y = -5.2

2.5(-5.2) = -13

2x² + y, x = -2, y = 5

2(-2)² + (5)

2(4) + 5

8 + 5 = 13

a(b), a = 2/3, b = 9/14

(2/3)(9/14)

cross simplify

(1/1)(3/7) = 3/7

Which equation could you use to solve for x in the proportion 4 over 5 = 9 over x ?

Answers

Step-by-step explanation:

4/5 = 9/x

x(4/5)= 9

4/5x = 9

×5/4 ×5/4

x=11.25

Help, please find errors!

Answers

Everything looks great. The only issue I see is that 27 is a bit smudged. I think you were trying to say "A, B and E" (in any order you want). If so then that would be the correct answer.

4x²-9y²-6x-9y Factorize​

Answers

Answer:

Step-by-step explanation:

12 more than quotient of a number k and 5

Answers

Answer:

(k/5)+12 represents the question described

The required equation is 12 + k/5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given statement is,

12 more than quotient of a number k and 5

Converting them into numerical form,

quotient of a number k and 5 = k/5

Therefore 12 more than quotient of a number k and 5 is written as,

12 + k/5

this is the required equation for the given statement.

Thus, the required equation is 12 + k/5.

To learn more about equation:

https://brainly.com/question/4915174

#SPJ2

Melissa compares the numbers 0.058 and 0.21. She thinks that 0.058 > 0.21 because 58 > 21 , but the reasoning that Melissa used is incorrect

Answers

Answer:

Step-by-step explanation:

What is the answer tho

URGENT PLS HELP

BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.

Answers


Align the horizontal edge of the protractor with the base of the triangle. Place the center point of the protractor on the vertex of the angle. Follow the side of the triangle until it reaches the angle measurement mark. Note the measurement.

Which operation has to be calculated first in this expression?
7 – (4 + 5)

Answers

Answer:

Addition

Step-by-step explanation:

You should add 4 and 5 first because of PEMDAS.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Since 4+5 is in parentheses it should be done first.

Answer:

Addition

Step-by-step explanation:

This the answer because:

1) First, we have to know the Order of Operations

2) An easy way of remembering this is PEMDAS or GEMS

PEMDAS : Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

GEMS : Grouping (Parenthesis), Exponents, Multiplication and Division (whichever one comes first from left to right), Addition and Subtraction (whichever one comes first from left to right)

3) In this expression, parenthesis would be first because that's what comes first in the order of operations

4) Inside the parenthesis is another expression where you need to add. Therefore, the answer is addition

Hope this helps!


Sorry I also need help with this question

Answers

Answer: B

Step-by-step explanation:

(f/g) means to divide f(x) by g(x).

[tex](f/g)(x)=\frac{3x+2}{3x-5}[/tex]

To find the domain, you set the domain equal to zero and solve for x.

3x-5=0                   [add both sides by 5]

3x=5                       [divide both sides by 3]

x=5/3

Now, we know that B is the correct answer.

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