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Look at this set of ordered pairs:\newline(17,16)(17, 16)\newline(13,4)(13, 4)\newline(17,17)(17, 17)\newline(17,13)(17, 13)\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(17,16)(17, 16)\newline(13,4)(13, 4)\newline(17,17)(17, 17)\newline(17,13)(17, 13)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check Input-Output Mapping: 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 set of ordered pairs:\newline(17,16)(17, 16)\newline(13,4)(13, 4)\newline(17,17)(17, 17)\newline(17,13)(17, 13)\newlineWe can see that the input ′17′'17' corresponds to three different outputs: ′16′'16', ′17′'17', and ′13′'13'.
  3. Identify Multiple Outputs for Input: Since the input '1717' maps to more than one output, the relation is not a function. According to the definition of a function, each input value should map to exactly one output value.

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