Algebra-1

A relation describes a function if each member of the domain is assigned exactly one member of the range. Let's analyze each given relation to determine which one describes a function based on this criterion:

A. {(-6, 8), (-6, 4), (-3, 7)}

This relation does not describe a function because x=−6 is assigned both y=8 and y=4. In a function, each input (domain element) should map to exactly one output (range element). Here, x=−6 violates this rule by mapping to two different y values.

B. {(-9, -3), (-5, -3), (-5, -4)}

This relation also does not describe a function because x=−5 maps to both y=−3 and y=−4. Again, each input should map to exactly one output for the relation to be a function.

C. {(-2, 6), (-8, 1), (-4, 3)}

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