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Look at this set of ordered pairs:\newline(6,16)(6, 16)\newline(6,4)(6, 4)\newline(18,12)(18, 12)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

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Q. Look at this set of ordered pairs:\newline(6,16)(6, 16)\newline(6,4)(6, 4)\newline(18,12)(18, 12)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define Function Criteria: To determine if a set of ordered pairs represents a function, we need to check if each input (first component of each ordered pair) maps to exactly one output (second component of each ordered pair). A function cannot have one input corresponding to multiple outputs.
  2. Examine Given Ordered Pairs: Let's examine the given ordered pairs:\newline(6,16)(6, 16)\newline(6,4)(6, 4)\newline(18,12)(18, 12)\newlineWe can see that the input ′6′'6' is associated with two different outputs: ′16′'16' and ′4′'4'. This violates the definition of a function, which states that each input should map to only one output.
  3. Identify Violation of Function: Since the input 66 maps to two different outputs, we can conclude that the relation represented by the given set of ordered pairs is not a function.

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