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open up resources - 8th grade > identify functions: tables acc look at …

Question

open up resources - 8th grade > identify functions: tables acc
look at this table:

xy
1718
156
3-19
29
10-19

is this relation a function?
yes no
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input/output tables: find the rule (s3)
lesson: relations and functions

Explanation:

Step1: Recall function definition

A relation is a function if every input $x$ has exactly one output $y$.

Step2: Check x-values for repeats

Examine the $x$-column: $1, 17, 15, 3, 2, 10$. All $x$-values are unique.

Step3: Verify unique outputs

Each unique $x$ maps to only one $y$-value, so no $x$ has multiple $y$s.

Answer:

yes