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Look at this set of ordered pairs:\newline(12,11)(12, 11)\newline(5,19)(5, 19)\newline(−19,9)(-19, 9)\newline(10,19)(10, 19)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Look at this set of ordered pairs:\newline(12,11)(12, 11)\newline(5,19)(5, 19)\newline(−19,9)(-19, 9)\newline(10,19)(10, 19)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Look at xx-values: Look at the xx-values in the ordered pairs.\newlineOrdered pairs: (12,11)(12, 11), (5,19)(5, 19), (−19,9)(-19, 9), (10,19)(10, 19)\newlinexx-values: 1212, 55, −19-19, xx00
  2. Check for repetition: Check if any xx-value is repeated.xx-values: 1212, 55, –19–19, 1010 No xx-value is repeated.
  3. Verify function status: Since no xx-value is repeated, each xx-value is paired with exactly one yy-value. This means the relation is a function.

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