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QUESTION IMAGE

look at this table: | x | y | |----|----| | 11 | 9 | | 0 | 4 | | -10 | …

Question

look at this table:

xy
04
-1015
-1119
0-15

is this relation a function?
options: yes, no

Explanation:

Step1: Recall function definition

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

Step2: Check x - values for duplicates

Look at the x - values in the table: 11, 0, - 10, - 11, 0. The x - value 0 appears twice.

Step3: Check corresponding y - values for x = 0

When x = 0, the corresponding y - values are 4 and - 15. Since one input (x = 0) has more than one output, the relation is not a function.

Answer:

no