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Look at this set of ordered pairs:\newline(9,13)(9, 13)\newline(−8,1)(-8, 1)\newline(9,1)(9, 1)\newline(−8,19)(-8, 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(9,13)(9, 13)\newline(−8,1)(-8, 1)\newline(9,1)(9, 1)\newline(−8,19)(-8, 19)\newlineIs this relation a function?\newlineChoices:\newline(A)yes\newline(B)no
  1. List xx-values: List all the xx-values from the ordered pairs.\newlinexx-values: 99, –8–8, 99, –8–8
  2. Check for repetition: Check if any xx-value is repeated.xx-values 99 and –8–8 are repeated.
  3. Check for different yy-values: Since xx-values are repeated, check if they correspond to different yy-values.\newlineFor x=9x=9, yy-values are 1313 and 11.\newlineFor x=–8x=–8, yy-values are 11 and xx00.
  4. Determine if function: Determine if the relation is a function.\newlineA relation is not a function if a single xx-value maps to multiple yy-values.\newlineSince x=9x=9 maps to two different yy-values, the relation is not a function.

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