1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galina1969 [7]
3 years ago
12

Which set of ordered pairs represents y as a function of x?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

Question 1:

The set {(1, 2), (2, -3), (3, 4), (4, -5)} represents y as a function of x

Question 2:

The best statement describes the relation is "The relation represents y as a function of x, because each value of x is associated with a single value of y" ⇒ 3rd answer

Question 4:

There are missing options so we can not find the correct answer

Question 5:

The sets {(1 , 1), (2 , 2), (2 , 3)} and {(1, 2), (1, 3), (1, 1)} do not represent y as a function of x ⇒ 1st and 4th answers

Step-by-step explanation:

The relation is a function if each value of x has <em>ONLY</em> one value of y

Ex: The set {(3 , 5) , (-2 , 1) , (4 , 3)} represents y as a function of x because x = 3 has only y = 5, x = -2 has only y = 1, x = 4 has only y = 3

The set {(4 , 5) , (-2 , 1) , (4 , 3)} does not represent y as a function of x because x = 4 has two values of y 5 and 3

Now Let us solve the questions

Question 1:

∵ The set is {(1 , 3), (1 , 5), (1 , 7), (1 , 9), (1 , 11)}

∵ x = 1 has values of y = 3, 5, 7, 9, 11

- That means not each x has only one value of y

∴ The set does not represent y as a function of x

∵ The set is {(2 , 3), (3 , 5), (3 , -5), (-2 , 8), (-2 , -8)

∵ x = 3 has values of y = -5, 5 and x = -2 has values of y = -8, 8

- That means not each x has only one value of y

∴ The set does not represent y as a function of x

∵ The set is {(1, 2), (2, -3), (3, 4), (4, -5)}

∵ x = 1 has only y = 2

∵ x = 2 has only y = -3

∵ x = 3 has only y = 4

∵ x = 4 has only y = -5

- That means each x has only one value of y

∴ The set represents y as a function of x

∵ The set is {(1 , 2), (2 , 3), (3 , 4), (3 , 5)}

∵ x = 3 has values of y = 4, 5

- That means not each x has only one value of y

∴ The set does not represent y as a function of x

Question 2:

∵ The relation is (3, 4), (4, 3), (6, 3), (7, 8), (5, 4)

∵ x = 3 has only y = 4

∵ x = 4 has only y = 3

∵ x = 6 has only y = 3

∵ x = 7 has only y = 8

∵ x = 5 has only y = 4

- That means each x has only one value of y

∴ The relation represents y as a function of x, because each

    value of x is associated with a single value of y

Question 4:

The first representation

→  x    :    y

→  3    :    3

→  5    :    3

→  7    :    3

→  9    :    3

∵ x = 3 has only y = 3

∵ x = 5 has only y = 3

∵ x = 7 has only y = 3

∵ x = 9 has only y = 3

- That means each x has only one value of y

∴ The representation represents y as a function of x

The second representation

→  x    :    y

→ -2    :    6

→ -3    :    -7

→  5    :    1

→  4    :    6

∵ x = -2 has only y = 6

∵ x = -3 has only y = -7

∵ x = 5 has only y = 1

∵ x = 4 has only y = 6

- That means each x has only one value of y

∴ The representation represents y as a function of x

The other two options are missing so we can not find the answer

Question 5:

∵ The set is {(1 , 1), (2 , 2), (2 , 3)}

∵ x = 2 has y = 2 and 3

- That means one value of x has more than one value of y

∴ The set does not represent y as a function of x

∵ The set is {(1, 2), (2, 3), (3, 3)}

∵ x = 1 has only y = 2

∵ x = 2 has only y = 3

∵ x = 3 has only y = 3

- That means each x has only one value of y

∴ The representation represents y as a function of x

∵ The set is {(1, 1), (2, 1), (3, 1)}

∵ x = 1 has only y = 1

∵ x = 2 has only y = 1

∵ x = 3 has only y = 1

- That means each x has only one value of y

∴ The representation represents y as a function of x

∵ The set is {(1, 2), (1, 3), (1, 1)}

∵ x = 1 has y = 2, 3, and 1

- That means one value of x has more than one value of y

∴ The set does not represent y as a function of x

You might be interested in
Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition?
Paha777 [63]
B (2+x) +3y

Other examples include <span>(14 + 6) + 7 = 14 + (6 + 7)
because </span><span>Adding 14 + 6 easily gives the sum of 20 to which we can add 7. The right hand side of the equation is where we add 14 and 13. Both sides will result in 27.</span>
8 0
3 years ago
What does powers of fractions mean <br> we learned it today and i didn't get it
Leokris [45]
Its same as powers of a whole number.
Lets take example
(1/2)²=1/2×1/2=1/4
We can write it in a different way (0.5)²=0.5×0.5=0.25
4 0
3 years ago
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.
Tpy6a [65]

Answer:

30

Step-by-step explanation:

8 0
2 years ago
Could someone Help me please!
Aliun [14]
C = 2 pi r
C = 2 x 3.14 x 5 
C = 31.4 yd

A = pi r^2
A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 yd^2
4 0
2 years ago
Solve the system of equations using elimination.<br> 4x - 7y = 5<br> 8x + 3z = -35<br> 6y + 3z = 15
Angelina_Jolie [31]

Answer:

x=-5/8, y=15/2, z=-10. (-5/8, 15/2, -10).

Step-by-step explanation:

4x-7y=5

8x+3z=-35

6y+3z=15

----------------

4x=7y+5

2(4x)=2(7y+5)

8x=14y+10

14y+10+3z=-35

14y+3z=-35-10

14y+3z=-45

-----------------------

14y+3z=-45

6y+3z=15

------------------

14y+3z=-45

-(6y+3z)=-15

---------------------

14y+3z=-45

-6y-3z=-15

--------------------

8y=-60

simplify,

y=15/2

6(15/2)+3z=15

45+3z=15

3z=15-45

3z=-30

z=-30/3

z=-10

8x+3(-10)=-35

8x-30=-35

8x=-35+30

8x=-5

x=-5/8

x=-5/8, y=15/2, z=-10.

4 0
3 years ago
Read 2 more answers
Other questions:
  • How many different twotwo​-letter passwords can be formed from the letters
    12·1 answer
  • What is -11-8-13(-10)? And how did you get you're answer
    13·1 answer
  • What is the equation of this line?
    11·1 answer
  • Please help me thank you
    8·1 answer
  • Please help me pleeeeeeaaassseee
    15·1 answer
  • Passing through 1,-4 and -2,5
    9·1 answer
  • The distance from Hawthorne to Huntington Beach, on a map, is 0.75 inches. The scale on the map says that 2 in = 175 miles. Appr
    14·1 answer
  • there are 30 students in the classand 24 of these students pass their english test.what percentage of these students pass their
    7·1 answer
  • How long is a bus journey that starts at 8.55 a.m. and ends at 9.17 a.m.?
    13·1 answer
  • A stock lost 8 1/4 points on Monday and then another 2 3/4 points on Tuesday. On Wednesday, it gained 12 points.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!