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look at this table: x | y 14 | 19 1 | 17 1 | -5 19 | 4 19 | 20 3 | 11 i…

Question

look at this table:
x | y
14 | 19
1 | 17
1 | -5
19 | 4
19 | 20
3 | 11
is this relation a function?
yes
no

Explanation:

Step1: Recall function definition

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

Step2: Check duplicate x-values

Examine the table:

  • $x=1$ maps to $y=17$ and $y=-5$
  • $x=19$ maps to $y=4$ and $y=20$

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

Answer:

no