Is the following relation a function?


Yes

No

Is The Following Relation A Function?YesNo

Answers

Answer 1

Answer:

Step-by-step explanation: The answer of this question is functional because of the dilemma of fractions make it functional.

Answer 2

Answer: yes

Step-by-step explanation: I think that the least confusing way to do this problem is to first write down the ordered pairs that are represented by this mapping diagram.

So we have {(6, -1), (-1, 2), (4, 3), (0, 3)}.

In order for this relation to be a function, the x-coordinate can only

appear once unless we have the same ordered pair more than once.

Since each x-coordinate does appear once, it must be a function.

Students often make the mistake of saying this relation is not a function

because we have the same y-coordinate in two different ordered pairs, 3.

In other words, looking at the mapping diagram students will say that this relation is not a function because we have two x's paired with the same y.

Remember however that the definition of a function doesn't

say that each x must be paired with a different y.

It says that each x must be paired with exactly one y.

So in summary, a function can have the same y-coordinate in

two different points, just not the same x-coordinate.

The exception to this would be if the same ordered pair

is listed more than once in which it would be a function.


Related Questions

Factor: 1/2x + 12
Answers:
A. x + 12
B. 1/2(x + 24)
C. x + 24
D. 1/2(x + 6)

Answers

The correct answer is B. 1/2(x + 24)

Evaluating the expression: 2(3x-5y) when x=-1 and y=3

Answers

Answer:

-36

Step-by-step explanation:

2 [3(-1) - 5(3) ]

2 [-3-15]

2[-18]

-36

Answer:

-36

Step-by-step explanation:

since you say x=-1and y=3, you will put 1 in where x is and 3 where y is ,that is 2(3×-1]-5×3)

2(-3-15) then you subtract the bracket, that is 3-15 and it will give you -18. Then you use the 2 outside the bracket to multiply -18 ,that is 2×-18then it will give -36

Dorothy runs for 3.35 kilometres every day .
After 7 days how many meters has Dorothy ran

Answers

Answer:

23.45 meters

Step-by-step explanation:

To solve, you do 3.35*7, which gives you 23.45

The quotient of n and -4 is 8. What is the value of n?

Answers

Answer:

n = -32

Step-by-step explanation:

quotient means divide

n/-4 = 8

Multiply each side by -4

n/-4 *-4 = 8*-4

n = -32

four numbers 43 and 44, write an equation for the parabola in standard form​

Answers

Answer: 43) y = -x² - 2x + 3

              44) y = (1/2)x² + 2x + 3

Step-by-step explanation:

43) Since the x-intercepts and another point are given, use the Intercept form:

          y = a(x - p)(x - q) where

p and q are the x-intercepts"a" is the vertical stretch(x, y) is another point on the curve

Given: p = -3,    q = 1     (x, y) = (-1, 4)

y = a(x - p)(x - q)

y = a(x + 3)(x - 1)

4 = a(-1 + 3)(-1 - 1)

4 = a(2)(-2)

4 = -4a

-1 = a

Equation: y = -1(x + 3)(x - 1)

Expand:   y = -(x² - x + 3x - 3)

                   = -(x² + 2x - 3)

                   = -x² - 2x + 3

***********************************************************************************

Since the vertex and another point are given, use the Vertex form:

              y = a(x - h)² + k   where

(h, k) is the vertex"a" is the vertical stretch(x, y) is another point on the curve

Given: (h, k) = (-2, 1)  and   (x, y) = (0, 3)

y = a(x - h)² + k

y = a(x + 2)² + 1

3 = a(0 + 2)² + 1

3 = 4a + 1

2 = 4a

1/2 = a

Equation: y = (1/2)(x + 2)² + 1

Expand:   y = (1/2)(x² + 4x + 4) + 1

                  = (1/2)x² + 2x + 2 + 1

                 =  (1/2)x² + 2x + 3

To paint bedroom, jade estimates she will need to buy 3 1/4 gallons of paint. How many 1/2 gallon cans of paint should the buy ? explain.​

Answers

Answer: 7 half- gallons of paint

Step-by-step explanation:

3 divided by .5 is 6, so 6 half-gallons will cover the 3 gallons. Another half-gallon is needed to cover the remaining 1/4 gallon needed, and Jade will have 1/4 gallon of paint left.

I NEED YOUR HELP PLSS

If the vertical length is 10, what is the horizontal length?

Answers

Are you sure you said the whole problem cuz that is impossible to answer

Answer:

yes this person did because I have the same question

Step-by-step explanation:

What is the length of segment LM?

units

Answers

Answer: 23 units just took the test

Answer:

The answer is 23 units.

Step-by-step explanation:


Solve for y
6x + 2y = 4

Answers

Answer:

y= 2-3x

Step-by-step explanation:

2y = 4-6x
2y/2y = 4-6x/2y
y= 2-3x would be your answer :)

The 10th grade is having a picnic this Friday. There will be 182 students and 274 adults. Each table seats 12 people. How many tables are needed?

Answers

Answer:

38 Tables

Step-by-step explanation:

182 + 274 = 456

456 / 12 = 38

Find the value of x
Helllllppp

Answers

Answer:

A

Step-by-step explanation:

Both angles are the same so subtract 1 from 64.

64-1=63

So now you have to find out what times 3 is 63. 21 x3= 63 sooo 63+1 is 64. so x is 21

Help me year 6 rounding. Question 2 thx

(Better to screen shot)

Answers

Answer:

1. 3,002,508

2. 8,473,211

rounded to nearest hundred thousand: 8,500,000

Step-by-step explanation:

hope this helps.

a class of 40 students visits a farm . they tour the farm in groups of 5 . how many groups of 5 can they make?

Answers

eight groups of five

1. Add 8, 3.5, and 15.
2. Add 15,7,.5
3. Add 7, .8,.6
4. Add 35.15,14.18,7.16
5. Add .8,5,.7

Answers

[tex]1.)\;8+3.5+15=26.5\\2.)\;15+7+5=27\\3.)7+8+6=21\\4.)35.15+14.18+17.16=66.49\\5.)\;8+5+7=20[/tex]

Step-by-step explanation:

Hey there!

Let's add them.

1). 8,3.5, 15

[tex] = 26.5[/tex]

2). 15 + 7 + .5

[tex] = 22.5[/tex]

3). 7, .8, .6

[tex] = 8.4[/tex]

4). 35.15, 14.18, 7.16

[tex] = 49.33 + 7.16[/tex]

[tex] = 56.49[/tex]

5). .8, 5, .7

[tex] = 6.5[/tex]

Hope it helps...

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

203 is the median value.

Step-by-step explanation:

The range is 62, minimum is 174, and the maximum is 236. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.

The answer is 194 after you rearrange them add 185 and 203 divide them by 2 and you get the median which is 194

2/3 divided by 4 to fine the quotient

Answers

Answer: 1/6

Step-by-step explanation: 2/3 / 4 is 1/6 or 0.1666666....

what is 100×507 and show how you got the answer​

Answers

Answer:

just add the zeros in 507

so, you will get 50700


507. The answer is 507,000
X100
———-
000
000
507000

On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?

-16.75 + (5.72 + 16.75)

Use the commutative property to get:

-16.75 + (16.75 + 5.72)

Use the associative property to get:

(-16.75 + 16.75) + 5.72

On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total?
-$866.84
$878.28
$895.03
$903.10

Answers

Answer:

B

Step-by-step explanation:

[tex]5.72+872.56=878.28[/tex]

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if you help FAST I will give BRAINLIST

Given a || b , and c is not parallel to a or b, which statements
must be true?
Select each correct answer
mZ5=mZ12
mZ1=mZ5
mZ4=mZ5
m27 = mZ11

Answers

Answer:

A,B,D are true C is false

What is the distance between A(0, 5) and B(5, -7) ?

Answers

Answer:

The distance between the two points is 13 units.

Step-by-step explanation:

take the test

Which of the following is equivalent to the expression (3x² + 2x-8)-(2x² - 4x + 7)?

Answers

Answer: x^2+6x-15

Step-by-step explanation:

please helpppppp fastttt

Answers

Answer:

I am pretty sure it is A. 85°

What is the square root of ab2?

Answers

Answer:

Step-by-step explanation:

the quotient of a number and 2 is equal to 50​

Answers

I think it’s 25....Yeah I’m pretty sure it’s 25


Can you see it? Help please

Answers

[tex]f(x) = 7x[/tex]          [tex]g(x) = \sqrt{x}[/tex]          [tex]h(x) = x^2 + 7[/tex]

11)

[tex]g(f(4)) = \sqrt{7 \cdot 4} = \sqrt{28} = 2\sqrt{7}[/tex]

12)

[tex]h(g(49)) = 49 + 7 = 56[/tex]

13)

[tex]g(f(x)) = \sqrt{7x}[/tex]

14)

[tex]h(g(x)) = (\sqrt{x})^2 + 7 = x + 7[/tex]

15)

[tex](g \circ h)(x) = g(h(x)) = \sqrt{x^2 +7}[/tex]

16)

Let [tex]y = f^{-1}(x)[/tex]  and [tex]f(y) = x[/tex]

[tex]4y - 3 = x\\4y = x + 3\\y = \frac{x + 3}{4}\\\\f^{-1}(x) = \frac{x + 3}{4}[/tex]

17)

Let [tex]y = g^{-1}(x)[/tex]  and [tex]g(y) = x[/tex]

[tex]\frac{2y + 7}{3} = x\\ 2y + 7 = 3x\\2y = 3x - 7\\y = \frac{3x - 7}{2} \\\\g^{-1}(x) = \frac{3x - 7}{2}[/tex]

Will give brainliest answer

Answers

Ivy - Your definition is incorrect......

Ethan - Excellent!.......

Ebuka - Angle Measures help us describe the rotations...............

Hope that helped

Ivy's definition is incorrect and lacks clarity, Ethan's definition is praised for its accuracy and intellect, Ebuka's definition is acknowledged for its understanding of angle measures but does not align with the geometric object of an angle.

Based on the information provided, we can match the teacher's comments to the definitions as follows:

a. Ivy's definition: The teacher's comment is "Your definition is incorrect, and its precise meaning is unclear." This comment matches Ivy's definition as it implies that Ivy's definition is incorrect and lacks clarity.

b. Ethan's definition: The teacher's comment is "Excellent! You have a razor-sharp intellect!" This comment matches Ethan's definition as it praises the accuracy and intelligence reflected in his definition.

c. Ebuka's definition: The teacher's comment is "Angle measures help us describe rotations, but your definition doesn't work for the geometric object we call an angle." This comment matches Ebuka's definition as it acknowledges the relevance of angle measures in describing rotations but points out that his definition does not align with the specific geometric object called an angle.

Learn more about Definition here:

https://brainly.com/question/9823471

#SPJ2

A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used. A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0. A level of significance of 0.05 will be used to determine if the doors are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the doors are either too long or too short?

Answers

Answer:

No, we don't have sufficient evidence to support the claim that the doors are either too long or too short.

Step-by-step explanation:

We are given that a lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used.

A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0.

Let [tex]\mu[/tex] = population mean length of doors.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2058.0 millimeters      {means that the mean length of doors is 2058.0 millimeters}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 2058.0 millimeters     {means that the doors are either too long or too short}

The test statistics that will be used here is One-sample t-test statistics because we know about the population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean = 2043.0 millimeters

             s = sample standard deviation = 25.0 millimeters

             n = sample of doors = 11

So, the test statistics =  [tex]\frac{2043.0-2058.0}{\frac{25.0}{\sqrt{11} } }[/tex]

                                     =  -1.989  

The value of t-test statistics is -1.989.

Now, at a 5% level of significance, the t table gives a critical value between -2.228 and 2.228 at 10 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean length of doors is 2058.0 millimeters.

I’m not sure about this one folks plz help:D

Answers

35 is the answer

Explanation, the sum of interrior angme is 180degree

x+(3x+40)= 180

or, 4x= 180-40

or, x= 140÷ 4

or x = 35

Answer:

B

Step-by-step explanation:

For the 2 lines to be parallel, then the 2 angles are same- side interior angles and are supplementary, thus

x + 3x + 40 = 180 , that is

4x + 40 = 180 ( subtract 40 from both sides )

4x = 140 ( divide both sides by 4 )

x = 35 → B

Please solve
Solve -13n - 53 = -2 (2n - 14). n

Answers

it’s -9n=81simplified which would mean that N=-9

3. Here is a list of exam scores for Mr. Kraft's calculus class:
60 61 61 65 72 75 75 78 81 81 85 89 91 98
What is the percentile of the person whose score was 85?
A) 15%
B) 21%
C) 29%
(D) 71%
E) 85%

Answers

Answer

15%

Step-by-step explanation:

I think the answer is 15% because when we talk about percentile, we are actually subtracting from 100% in simpler terms. If we say a 85th percentile, it actually means 15%.

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