identify the domain and the range of the function

Identify The Domain And The Range Of The Function

Answers

Answer 1

So the first graph is Radical/Irrational Graph and the second is Parabola/Quadratic Graph.

You can find the domain by looking at the x-axis and for the range, look at the y-axis. That means all of x-axis is the domain and all of y-axis is the range.

From the first graph, the domain is from -2 to +infinite. But because there's a colored dot, it's either ≥ or ≤.

But because -2 is less than + infinite, we use ≤ instead. Thus, x ≥ -2

Remember that x-values can't be equal to infinite. So we use < instead since there's no x-values that are equal to ∞.

Or we can write in interval notation as [-2,+∞) for symbol "[ or ]" is equal to ≤ or ≥ and ") or (" is equal to > or <

Again, the domain for the first graph is x ≥ -2 or x ∈ [-2, +∞)

And the range, look at the y-axis. Because we can substitute x from -2 to less than ∞, that means the range is from -1 because when x = -2 then x = -1 to + infinite.

Therefore, the range is y ≥ -1 or y ∈ [-1, +∞)

Now for the second graph. Look at the x-axis to find the domain. We notice that the colored dot is at x = -3 and the one with white dot is at x =2. The one without the color or white dot is > or < while the colored one is ≥ or ≤.

So the domain is -3 ≤ x < 2 or x ∈ [-3, 2)

For range, look at the y-axis. Notice that the colored dot is at y = -5 and the maximum point is at y =4. The y =4 is still in the domain so the range still applies to the maximum point.

Therefore the range is -5 ≤ y ≤ 4 or y ∈ [-5, 4]


Related Questions

plz help me brainliest will be reward if right and 25 points

Answers

Answer:

the answer is f(x) = 6x + 1/6

Step-by-step explanation:

the g(x) ones y intercept is : 0,-6

the -6k(x) ones y intercept is : 0 , -6

the f ( x) ones y inetrcept is ; 0 , 1/6

the h (x) ones y intercept is : 0 , 6

( i to totally didnt steal the answers)

The Department of Streets of a city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year.

The cost of resurfacing a mile of 2-lane road is estimated at $84,000. The average starting salary of a worker in the department is $36,000

a year.

Write an equation that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number

of new workers it could hire, p, if it spends the entire budget.

Answers

Answer:

84,000 m + 36,000 p = 1,962,800

Step-by-step explanation:

Let m denotes number of miles of 2-lane roads the department could resurface and p denotes number of workers hired by the department of Streets of a city.

The cost of resurfacing a mile of 2-lane road is estimated at $84,000.

So,

Cost of resurfacing m miles of 2-lane road = $84,000 m

The average starting salary of a worker in the department is $36,000  a year

So,

Total salary paid to p workers = $36,000 p

Now, total amount is equal to $1,962,800.

84,000 m + 36,000 p = 1,962,800

An equation that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, p, if it spends the entire budget is given as follows  

[tex]84000\times m + 3600 \times p = 1,962,800.......(1)[/tex]

Equation (1)  is the model equation for the given situation.

According  to  the question

Numbers of  miles of 2 lane road = m

Number of workers that could be hired = p

The cost of resurfacing a mile of 2-lane road is estimated at $84,000. /mile

here m and p are our variables

The average starting salary of a worker in the department is $36,000 /year

The Department of Streets of a city has a budget of $1,962,80.

So the Equation for the budget can be written as

[tex]84000\times m + 3600 \times p = 1,962,800.......(1)[/tex]

Equation (1) represents One linear equation with two variables.

For more information please refer to the link below

https://brainly.com/question/13911928

HELP I WILL LOVE U GUYS !!!!!!!!!!!!!!!!!!!!!!!!

Answers

it MIGHT be 145 but im not positive

Answer:

The answer is 145*.

Step-by-step explanation:

Which table represents a linear function?

Answers

Answer:

i think its the 3rd example table

the third example on the table

BRAINLIEST for CORRECT answer please help

Answers

Answer: The answer is B I swear

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Just did it on Edg 2020

P(x)=0 how many terms does this have

Answers

Answer:

Zero

Step-by-step explanation:

Zero polynomial does not have any nonzero term. It is represented as:

P(x) = 0.

Thus, we can say that a polynomial function which is equal to zero, is called zero polynomial function.

what does x equal to

Answers

Answer:

x=0

Step-by-step explanation:

x/9+8=8

(add 8 to both sides)

x/9=0

(times both sides by 9)

x=0

in the next several games,the pitcher threw a total of 384 pitches and used a fastball 240 times.What decimal should juanita use to update her report?

juanita should ise decimal __ to update her report.

How do you know that the answers is terminating decimal?​

Answers

Answer:

Divide the number of fastballs by the total number of pitches:

240 / 384 = 0.625

Step-by-step explanation:

Albert used 3/8 of a 1/2 gallon can of paint. What fraction of gallon did he use?

Answers

Answer:

Step-by-step explanation:

He used 3/8 of the gallon and 1/8 was left over.

Analyze the graph of the function f(x) to complete the statement.

Answers

Where’s the graph? I need to see the graph

Why is the Boston massacre important??

Answers

It’s apart or our history duh..

Answer:

The Boston Massacre is important because It was a confrontation in 1770 that worsened tensions between the 13 colonies. The manslaughter may have been an accident, but It helped lead all the tension between the people to something far worse

Step-by-step explanation:

This is History btw, Not Mathematics. :) Good Luck!

can someone plz help me with this math equation!

Answers

Answer:

x² + 2x + 9 - [tex]\frac{7}{x+3}[/tex]

Step-by-step explanation:

Using Synthetic division

- 3 |   1    5     15   20

       ↓  - 3   - 6    - 27

     ----------------------------

       1     2      9     - 7 ← remainder r(x)

Quotient Q(x) = x² + 2x + 9

Thus

x³ + 5x² + 5x + 20 = x² + 2x +9 - [tex]\frac{7}{x+3}[/tex]

WILL MARK YOU BRAINLIEST!!!! Show your work plzz

Answers

Answer:

1) x = 180- 92- 63=22

Step-by-step explanation:

Answer:

Number 1 =25°

Number 2 =37°

Number 3=60°

Number 4= x=67°.. Z=52°.... Y=113°

Number 5= x=56°.. Y=81°... Z=99°

Number 6= x=35°... Y=134°...z=46°

WILL GIVE BRAINLESS IF YOU GOT IT CORRECT

Answers

Answer: 2.79 x 10 to the 5th power

Step-by-step explanation: Your welcome :)

Answer:

2.79 x [tex]10^{5} }[/tex]

Step-by-step explanation:

7.9 x [tex]10^{4}[/tex] = 79000

2 x [tex]10^{5}[/tex] = 200000

79000 + 200000 = 279000

279000 = 2.79 x [tex]10^{5} }[/tex]

Hope this helps, I'm sorry about the earlier question but I fixed it:)

find the last number in the series 8, 4, 12, 6, 18, 9?​

Answers

Answer:

27

Step-by-step explanation:

divide by two, multiply by 3.

8 divided by 2= 4

4 times 3= 12

12 divided by 2= 6

6 times 3= 18

18 divided by 2= 9

therefore

9 times 3= 27

-4.8 plus what equal a negative number please help​

Answers

Answers = A & C
Negative + Negative = Negative

2х2 – 3х – у = -5
—x + y = 5

Answers

jrjrjrjrjr jrjrjrjrjrjjr jrjrjrjrjrj jrjrjrj

What is the answer to this question?

Answers

Answer:

A

Step-by-step explanation:

Ok so Ik helping my friend over the cellphone and it's 8(a+b)÷2 where solving for A​

Answers

Answer:

4a+4b

Step-by-step explanation:

how do I simplify 3³×3⁴÷3²​

Answers

Answer:

3^5

Step-by-step explanation:

3^3*3^4 ÷3^2

27*81÷9

27*9

243=

3^5

From the exponent's formula, the simplified form of the given question [tex]3^{2} \times 3^{4} \div 3^{2}[/tex] is 243.

What is the exponent's formula?

Exponents formulas help solve exponents represented by [tex]\rm x^{n}[/tex] multiplying by itself n times. here, x is called the base and n is the exponent or power.  [tex]\rm x^{n}[/tex] is read as x raised to the power of n.

The formula required

[tex]\rm a^{x} \times a^{y} = a^{x+y}[/tex]

[tex]\rm a^{x} \div a^{y} = a^{x-y}[/tex]

So, by applying the above exponent's formulas

[tex]3^{3} \times 3^{4} \div 3^{2}\\= 3^{3+4} \div 3^{2}\\= 3^{7} \div 3^{2}\\= 3^{7-2} \\= 3^{5} \\= 243[/tex]

Hence, the simplified form of the given question [tex]3^{2} \times 3^{4} \div 3^{2}[/tex] is 243.

Learn more about the exponent's formula here:

https://brainly.com/question/24346604

I need help with this assignment

Answers

Answer:

1)B

2)B

3)D

4)D

5)D

6)A

7)A

8)C

-1/5d - 1 = 12
Can I get some help

Answers

Answer:

d =-65

Step-by-step explanation:

someone please help... and show work please​

Answers

Answer: x= 12

Step-by-step explanation:

Since 7x-8= the angle above 11x-28, which lays on a 180 degree angle. You get the equation 7x-8+11x-28=180. You combine like terms on the left side and get 18x-36=180 add 36 to both sides and then divide both sides by 18 to get x=12.

The answer would be x=12

HELP A triangle and its angle measures are shown in the diagram. What is the value of x?






a

16

b

10.28

c

1.6

d

56

Answers

Answer:

a. 16

Step-by-step explanation:

Triangles = 180 degrees

180 - 80 = 100

100 = (4x - 4) + (0.5x + 32)

4x - 4 + 0.5x + 32 =100

(4x + 0.5x) +(-4 + 32) = 100

4.5x + 28 = 100

4.5x + 28 -28 = 100 - 28

4.5x = 72

4.5x/4.5 = 72/4.5

x = 16

Kyle plays softball. His goal is to have a batting average of .400 or greater by the end of the season. The ratio that relates the number of hits to the number of chances, called at-bats, is used to determine batting average in baseball and softball.Batting averagenumber of hits number of at bats So far this season, Kyle has 25 hits. He has been at bat 65 times. He expects to have 10 more at-bats this season

Answers

Answer:

The  number of  hits is  [tex]T \ge 30 \ hits[/tex]

Step-by-step explanation:

From the question we are told that

   The ratio of the number of hits to the number of chances is equivalent to the batting average

   The  number of chances is j =  65 + 10 =  75

    The  number of hit so far is  n =  25

Generally the batting average can be represented mathematically as

      [tex]A = \frac{n + k}{ j}[/tex]

Here k is the number of additional hits Kyle need to get in order to obtain the batting average of  0.40 or more

 So  

        [tex]\frac{25 + k}{ 75} \ge 0.40[/tex]

=>     [tex]k \ge 5 \ hits[/tex]

Hence the number of hits for Kyle  to  get a batting average of 0.400  or greater by the end of the season is  

     [tex]T \ge k + n[/tex]

=>   [tex]T \ge 5 + 30[/tex]

=>   [tex]T \ge 30 \ hits[/tex]

What is 7.006 x 10-5 written in standard notation?
Group of answer choices

700,600

0.00007006

70,060

0.0007006

Answers

The standard notation is 0.00007006 because the -5 in the 10^-5 means that the decimal will move over the left 5 times.

Solve the equation 4x + 8y = 12 for x.
O A. x = 2y - 3
O B. x = 3 - 2y
O C. x = 12 - By
O D. x = - 2

Answers

Answer:

B. x = 3 - 2y

Step-by-step explanation:

Write an equation in slope intercept form for the line using the following information.
Passes through (4, -3) and (6,-4)

Answers

Answer:1+5x44+x55555,0=9999999999999999999

Step-by-step explanation:

Suppose M is the midpoint of FG. Find the missing measure.



FM=12x−4, MG=5x+10

Answers

Answer:

[tex]\overline{FM}=20[/tex]

[tex]\overline{MG}=20[/tex]

Therefore,

[tex]\overline{FG}=40[/tex]

Step-by-step explanation:

Once M is the midpoint of FG, we conclude that

FM is half of FG and MG is half of FC and hence, FM = MG.

Given:

[tex]\overline{FM}=12x-4[/tex]

[tex]\overline{MG}=5x+10[/tex]

[tex]\overline{FM} = \overline{MG} \implies 12x-4 = 5x+10 \implies 7x=14 \implies \boxed{x = 2}[/tex]

So,

[tex]\overline{FM}=12x-4 = 12(2)-4=24-4=20[/tex]

[tex]\overline{MG}=5x+10 = 5(2)+10 = 10+10 =20[/tex]

a rectangles width is 13 more than its length if the perimeter is 82 feet what is the length and width ?​

Answers

Answer:

Length = 27 feet and Width = 14 feet

Step-by-step explanation:

W = Width (w+13)

P = 2L + 2W

82 = 2 (W+13) + 2W

82= 4W

56=4

W = 14 feet

Length = w + 13

13 + 14 = 27 feet  

Length = 27 feet

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