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8. which is a true statement about the table? | x | y | | 3 | 0.3 | | 5…

Question

  1. which is a true statement about the table?
xy
30.3
52.3
74.3
96.3

a. the table is a function since none of the y’s repeat
b. the table is a function since none of the x’s repeat
c. the table is not a function since none of the y’s repeat
d. the table is not a function since none of the y’s repeat

  1. does the following relationship represent a function?

{(2, 0), (2, 3), (4, 5), (9, 0)}

Explanation:

Response
8.

Step1: Recall function definition

A relation is a function if for each input (x - value) there is exactly one output (y - value).

Step2: Check x - values in table

In the given table, the x - values are 3, 5, 7, 9. None of the x - values repeat.

Step1: Recall function definition

A relation is a function if for each input (x - value) there is exactly one output (y - value).

Step2: Check x - values in relation

In the relation \(\{(2,0),(2,3),(4,5),(9,0)\}\), the x - value 2 has two different y - values (0 and 3).

Answer:

B. the table is a function since none of the x’s repeat

9.