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QUESTION IMAGE

look at this table: | x | y | |----|----| | 20 | 12 | | 10 | 11 | | 16 …

Question

look at this table:

xy
1011
166
1017
16-12
1911

is this relation a function?
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 duplicate $x$-values

Look for repeated $x$-values:

  • $x=10$ pairs with $y=11$ and $y=17$
  • $x=16$ pairs with $y=6$ and $y=-12$

These $x$-values have multiple $y$-values.

Answer:

no