Question

look at this table:

x	y
5	-1
5	4
8	4

is this relation a function?
yes no
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work it out
not feeling ready yet? these can help:
input/output tables: find the rule (83)
lesson: relations and functions

Explanation:

Step1: Recall function definition

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

Step2: Check \(x\)-values in table

Examine the \(x\)-column: \(-15, 5, 5, 8\). The \(x\)-value \(5\) appears twice, with outputs \(y=-1\) and \(y=4\).

Step3: Apply function rule

Since one \(x\) has two distinct \(y\)-values, the relation fails the function test.

Answer:

no