1. Which representation does not show y as a function of x?
A) Answer F
B) Answer G
C) Answer H
D) Answer J

2. Which set of ordered pairs represents y as a function of x?
A) {(-9, 2), (0, 6), (1, -2), (-3, 6)}
B) {(-1, 0), (4, 3), (-7, -3), (-1, -8)}
C) {(3, 2), (-4, -2), (3, 1), (-4, 1)}
D) {(5, 4), (2, 3), (1, 1), (2, 4)}
the pic is for question 1


1 Which representation does not show y as a function of x A Answer F B Answer G C Answer H D Answer J 2 Which set of ordered pairs represents y as a function of class=

Respuesta :

the first one is "H" cant help with the second one without seeing the graph

Applying the rules that makes a relation a function:

1. The relation that doesn't represent y as a function of x is: D. Answer J.

2. The only set of ordered pairs showing a relation that represents y as a function of x is: A) {(-9, 2), (0, 6), (1, -2), (-3, 6)}.

Recall:

  • A relation is a function if every input value (x-value) has only one possible y-value that is related to or corresponds to.

Let's analyze each relation given:

1. All the relations in F, H, and G all have only one y-value assigned or related to every x-value (input). Hence, they all represent y as a function of x.

The graph in J does not represent y as a function of x because of the following:

  • x =-3 has two y-values, -2, and -3

  • x  = -2 has two y-values, 0, and -1.

  • x = -1 has two y-values, 1, and 2.

  • x = 0 has two y-values, 3, and 4.

Therefore, answer J does not represent a function.

2. Same rule of a function applies here.

  • From the set of ordered pairs given, only the set of ordered pairs in A represents y as a function of x because it every of its x-values has only one possible y-value assigned to them.

  • The rest set of ordered pairs have more than one y-values assigned to some of their x-values.

In summary:

1. The relation that doesn't represent y as a function of x is: D. Answer J.

2. The only set of ordered pairs showing a relation that represents y as a function of x is: A) {(-9, 2), (0, 6), (1, -2), (-3, 6)}.

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