What is the domain and range?


What Is The Domain And Range?

Answers

Answer 1

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.


Related Questions

BASIC LEVEL
1. On a sheet of paper, enlarge the following figures
with centre of enlargement E and scale factors each
indicated in brackets.
Plz help

Answers

Answer:

hjskkdoododkdkdndndndndndndndnsn sorry I needed points to ask a question

write the first four terms of the arithmetic sequence given a1=-3 and d=-2

Answers

1) -3
2) -5
3) -7
4) -9

Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)

a= term position
a(n)= nth term
a1= first term

Select all the correct answers,
Which relations represent functions?

Answers

A and C are the correct answer

Answer:

A and C are the correct answer

Step-by-step explanation:

I dont understand this... they do not teach well in my school tbh.

Answers

i believe the answer is D

Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.

About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.

Answers

Step-by-step explanation:

Cost of each golf ball = $9.31 / 18

≈ $9 / 18 = $0.5.

Answer: 0.5172222222222222

Step-by-step explanation: divide 18 by 9.31

The length of a rectangle is 2 cm more than
3 times its width. Its area is 85 cm?. Find the
dimensions of the rectangle.

Answers

Answer:

Width of rectangle = 5 cm

Length of rectangle =  17 cm

Step-by-step explanation:

Let the dimensions of rectangle:

Width of rectangle = x

Length of rectangle = 3x+2

Area of rectangle = 85 cm

We need to find dimensions of rectangle i.e length and width.

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

Putting values and finding dimensions

[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]

Now, finding value of x using quadratic formula:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have, a =3, b =2 and c=-85

[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]

So, we get x = 5 and x = -5.6

But since the width of rectangle cannot be negative so, we would consider x = 5

Now, the dimensions of rectangle will be:

Width of rectangle = x = 5 cm

Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm

Please help it’s urgent !!

Answers

Answer:

2 is the correct answer you know it also

the graph shows the number of us passports issued in 2012, 2014, and 2016. find the rate of change between 2012 and 2014. pay attention to the scale of the y-axis

Answers


What is the value of x in this diagram?


Please help

The polynomial p(x) = 5x^3 – 9x^2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.

Answers

Answer:

[tex](x+1)(5x-4)(x-2)[/tex]

Step-by-step explanation:

We know that (x+1) is a factor, so we can use synthetic division to factor it out of [tex]5x^3-9x^2-6x+8[/tex].

Once factored, we get [tex](x+1)(5x^2-14x+8)[/tex]

Now all we need to do is factor[tex](5x^2-14x+8)[/tex]

[tex](5x^2-14x+8)=(5x-4)(x-2)[/tex]

This gives us the answer [tex](x+1)(5x-4)(x-2)[/tex].

p(x) as a product of its linear factors is:

[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]

The given polynomial is:

[tex]p(x) = 5x^3-9x^2-6x+8[/tex]

The divisor = x + 1

The division expression can be written as:

[tex]\frac{5x^3 - 9x^2 -6x + 8 }{x+1} \\\\= 5x^2-14x+8[/tex]

Factorize [tex]5x^2-14x+8[/tex]

[tex]5x^2-14x+8\\\\5x^2-10x-4x+8\\\\5x(x-2)-4(x-2)\\\\(5x-4)(x-2)[/tex]

Therefore, p(x) as a product of its linear factors is written as:

[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]

Learn more here: https://brainly.com/question/18818577

An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal

Answers

Answer:

The angle the aero plane makes with the horizontal is approximately 20.925°

Step-by-step explanation:

The given parameters are;

The distance the aero plane flies = 5.6 km

The elevation to which the aero plane flies = 2 km

The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)

By the trigonometric ratio for the sin of the angle, θ, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]

Therefore, the angle θ the aero plane makes with the horizontal is given as follows;

[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]

The angle the aero plane makes with the horizontal ≈ 20.925°.

The sum of 2 numbers is 38. The grarter number is 8 more than the other number find each number ise a aystem of linear equations to justify your answer

Answers

Answer:

x = 23 ; y = 15

Step-by-step explanation:

Given :

Let the numbers be : x and y

x + y = 38 - - (1)

x = y + 8 - - - (1)

Put x = y + 8 into (1)

y + 8 + y = 38

2y + 8 = 38

2y = 38 - 8

2y = 30

y = 30/2

y = 15

x = y + 8

x = 15 + 8

x = 23

Can somebody please help me with this ? help will be very much helpful:)

Answers

Answer:

lesser x should be -5

greater x should be 5

Step-by-step explanation:

Answer:

x = (5,-5)

Step-by-step explanation:

isolate the variables by dividing each by factors that don't contain the variable

Graph

y−2=23(x+4)


I don’t no how to graph so plz help me

Answers

Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph

Step-by-step explanation:

BRAINLIEST goes to the right answer.

For the function in the graph, find the values of f(-2), f(2), and f(4).

A. 2;2;1
B. -2; -2; -1
C.-2;2;1
D. -2;2;-1

Answers

I think it’s C hopefully it’s the correct answer

The questio is in the picture

Answers

Answer:

It's 14

Step-by-step explanation:

Answer:

i cant see the wording dude make it closer

Step-by-step explanation:

What is the domain and range if the equation is y= x^2 -2x -8

Answers

Answer:

Domain :

R (all real numbers)

Range :

{y element R : y>=-9}

What is 3% of 84?


Show work!

Answers

Step 1: Our output value is 84
Step 2: we represent the unknown value with X
Step 3: From step 1 above, 84 = 100%
Step 4: Similarly, X = 3%
Step 5: This results in a pair of simple equations:
84 = 100%(1)
X = 3%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS ( right hand side) of both equations have the same unit (%); we have
84/x = 100% / 3%
Step 7: Again, the reciprocal of both sides gives
X/84 = 3/100
X = 2.52
Therefore, 3% of 84 is 2.52

10) Solve the inequality for x.
- 2x + 2<-8
A) X<3
B) x < 5
C) X> 3
D) X> 5

Answers

Answer:

it is D

Step-by-step explanation:

Answer:

D.X> 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Could someone good at geometry help me please. I will mark brainliest!! :)

Answers

The angle to the right of 78 is 102 the angle to the left of 102 is 78 the one under the 78 is 102 the one above 78 is 102 the one under the 102 is 78 and the one to the left and down of 78 is 78

two functions are given below. f(x) =-4x+1 g(x)=-4x+1/2

Answers

Answer:

hope this helps

Step-by-step explanation:

x=   −1 /4 y +  1 /4

g=  −8x+1 /2x

Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.

a. How many copies will bill have to purchase if he is to have enough resumes?

b. how much will the copies cost bill, including the 6% sales tax?​

Answers

A. He will have to buy 200 copies
B. He will have to pay $60 for the copies plus the %6 tax which would be a total of $63.60

Solve for X
If you have 2x+3

Answers

Answer:

in the explanation

Step-by-step explanation:

According to the triangle midsegment theorem (if these points are midpoints),

2x + 3 is two times longer than 7, meaning it's 14.

2x+3=14

2x=11

x = 11/2

If there is an option for not enough info given, that should be right as it doesn't actually say that they are midpoints

Is the ratio 4.2:1.5 proportional to the ratio 12:5? Explain.

Answers

Answer:

No.

Step-by-step explanation:

We can set this proportion up as:

[tex]\frac{4.2}{1.5}=\frac{12}{5}[/tex]

For this to be true, cross-products need to be equal:

[tex]4.2(5)=12(1.5)[/tex],

However, we can see that this is not the case:

[tex]4.2\cdot 5 \neq 12 \cdot 1.5[/tex]

Therefore, these ratios are not proportional.

the ratio of PHP 504.00to 14liters of gasoline​

Answers

Answer:

36:1

Step-by-step explanation:

Divide 504 by 14 to get the ratio

-1 + 3x< 14 solve the equality

Answers

Answer:

x = 5

Step-by-step explanation:

add positive one to both -1 and 14

divide each side by 3

The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.

Answers

Answer:

[tex]A=2x^2+18x+36[/tex]

Step-by-step explanation:

Quadratic Function

It's given the length of a rectangular park is twice its width.

Let's call:

x = width of the rectangular park

2x = length of the rectangular park

The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:

x+3+3=x+6 width of the park and the path

2x+3+3=2x+6 length of the park and the path

The total area is:

A=(x+6)(2x+6)

Operating:

[tex]A=2x^2+6x+12x+36[/tex]

[tex]\boxed{A=2x^2+18x+36}[/tex]

The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?

Answers

Answer:

Rs 877.2

Step-by-step explanation:

The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?

The iron box is shaped as a rectangular prism

The formula for the surface area of a rectangular prism is given as:

S = 2(lw + lh + wh)

L = Length = 9ft

W = Width = 4.4ft

H = Height = 2.5 ft

Hence:

Surface area = 2[(9 × 4.4) + (9 × 2.5) +(4.4 × 2.5)]

Surface area = 2[(39.6) + (22.5) + (11)]

Surface area = 2[73.1]

Surface area = 146.2 ft²

From the question:

The cost of the sheet is Rs 6 per Square Foot

1 ft² = Rs 6

146.2 ft² = x

Cross Multiply

x = 146.2 × Rs 6

x = Rs 877.2

The cost of the iron sheet used to make the box is Rs 877.2

2 4/10 + 3 5/8 = what does it equal

Answers

2 4/10 + 3 5/8
= 6 1/40
6 1/40 is the right answer

2 2/7× 11/12 what is the ans

Answers

Answer:

There are 3 different forms of the answer.

Step-by-step explanation:

1. 44/21

2. 2.10

3. 2 2/21

The answer to your question is 44/21 or 2.09524

Using the diagram below, determine what the value of x is. Remember a straight line is 180 degrees and a complete circle is 360 degrees.

Answers

Answer:

x= -66

Step-by-step explanation:

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