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55 POINTS!!!
1. Identify the set of ordered pairs that represents y as a function of x.
Responses

{(−1, 0), (−1, 1), (−2, 2), (0, 3)}

{(−1, 1), (−2, 0), (−3, 4), (−3, 3)}


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


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

2. Which table represents y as a function of x?
Responses

x y
0 1
0 2
1 3
2 3


x y
1 0
2 0
3 1
3 2


x y
​​−1 −1
0 −1
2 0
3 2

x y
−1 −1
−1 0
0 2
2 3



Answer :

mhanifa

Answer:

1) B, 2) C

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As per definition, functions have only one y-value per x-value.

Let's test it with given sets and tables.

Part 1

  • A) {(−1, 0), (−1, 1), (−2, 2), (0, 3)}    - Not a function x = - 1 repeated
  • B) {(−1, 1), (−2, 0), (−3, 4), (−3, 3)}  - Not a function x = - 3 repeated
  • C) {(0, 0), (1, 1), (2, 2), (3, 3)}          - Function
  • D) {(0, 0), (1, 0), (2, 4), (2, 3)}         - Not a function x = 2 repeated

Part 2

A)

x y

0 1

0 2

1 3

2 3

  • Not a function,  x = 0 is repeated

B)

x y

1 0

2 0

3 1

3 2

  • Not a function, x = 3 is repeated

C)

x y

​​−1 −1

0 −1

2 0

3 2

  • Function

D)

x y

−1 −1

−1 0

0 2

2 3

  • Not a function, x = - 1 repeated

1) The set of ordered pairs that represents y as a function of x is;

B; {(−1, 1), (−2, 0), (−3, 4), (−3, 3)}

2) The table that represents y as a function of x is; Table 3

How to Interpret Ordered Pairs?

An ordered pair is defined as a composition of the x coordinate called the abscissa and the y coordinate called the ordinate having two values written in a fixed order within parentheses.

1) The first function given as  {(−1, 0), (−1, 1), (−2, 2), (0, 3)} ; This cannot be regarded as a function because the input x = - 1 is repeated with different output values.

The second function {(−1, 1), (−2, 0), (−3, 4), (−3, 3)} ; This cannot be regraded as a function because the input x = -3 is repeated with different output values.

The third function {(0, 0), (1, 1), (2, 2), (3, 3)};  This is a function because each input has unique output values.

The fourth function {(0, 0), (1, 0), (2, 4), (2, 3)} ;  This cannot be regraded as a function because the input x = 2 is repeated with different output values.

2) Table 1 cannot be regarded as a function because the input x = 0 is repeated with different output values.

Table 2 cannot be regarded as a function because the input x = 3 is repeated with different output values.

Table 3 is a Function because each input has unique output values.

Table 4 cannot be regarded as a function because the input x = -1 is repeated with different output values.

Read more about Ordered pairs at; https://brainly.com/question/1528681

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