Question

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

Question 1 options:

{(1, 3), (1, 5), (1, 7), (1, 9), (1, 11)}


{(2, 3), (3, 5), (3, -5), (-2, 8), (-2, -8)


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


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

Question 2 (1 point)
Which statement best describes the relation (3, 4), (4, 3), (6, 3), (7, 8), (5, 4)?

Question 2 options:

The relation does not represent y as a function of x, because each value of y is associated with two values of x.


The relation does not represent y as a function of x, because each value of x is associated with a single 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.


The relation represents y as a function of x, because one value of y is associated with two values of x.














Question 4 (1 point)
Which representation does NOT represent y as a function of x?

Question 4 options:




x y
3 3
5 3
7 3
9 3

x y
-2 6
-3 -7
5 1
4 6



Question 5 (1 point)
Which set of ordered pairs does NOT represent y as a function of x?

Question 5 options:

{(1, 1), (2, 2), (2, 3)}


{(1, 2), (2, 3), (3, 3)}


{(1, 1), (2, 1), (3, 1)}


{(1, 2), (1, 3), (1, 1)}
Who has done this if so plz help :)

Answer 1

The correct set of ordered pairs representing y as a function of x is where each x-value is associated with exactly one y-value; hence, for the student's questions, the answers indicate which option respects this rule and which does not.

Step-by-step explanation:

Understanding Functions and Ordered Pairs

In mathematics, specifically when discussing functions, each input value (x) is paired with exactly one output value (y). This is fundamental to the concept of a function in math.

The set of ordered pairs that represents y as a function of x must have all unique x-values. Thus, option three {(1, 2), (2, -3), (3, 4), (4, -5)} from the first question correctly represents y as a function of x, as each x is associated with only one y.

For question two, option three is correct, stating, 'The relation represents y as a function of x, because each value of x is associated with a single value of y.'

The representation that does not represent y as a function of x from question four is the second option, which has duplicate x-values with different y-values, violating the function definition.

Lastly, from question five, the set that does NOT represent y as a function of x is {(1, 1), (2, 2), (2, 3)}, where the x-value of 2 corresponds to two different y-values.

Answer 2

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 ONLY 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