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Look at this set of ordered pairs:\newline(6,11)(6, 11)\newline(6,12)(6, 12)\newline(20,5)(20, 5)\newline(3,7)(3, 7)\newlineIs this relation a function?\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Look at this set of ordered pairs:\newline(6,11)(6, 11)\newline(6,12)(6, 12)\newline(20,5)(20, 5)\newline(3,7)(3, 7)\newlineIs this relation a function?\newlineChoices:\newline(A)yes\newline(B)no
  1. Understand Function Definition: Step 11: Understand the definition of a function. A set of ordered pairs is a function if each input (first element of each pair) maps to exactly one output (second element of each pair).
  2. Examine Given Ordered Pairs: Step 22: Examine the given ordered pairs for repeated inputs:\newline(6,11)(6, 11)\newline(6,12)(6, 12)\newline(20,5)(20, 5)\newline(3,7)(3, 7)\newlineHere, the input 66 maps to two different outputs, 1111 and 1212.
  3. Identify Violation: Step 33: Since the input 66 is associated with more than one output, this violates the definition of a function. Therefore, the relation is not a function.

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