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Look at this set of ordered pairs:\newline(20,13)(20, 13)\newline(17,20)(17, 20)\newline(15,7)(15, 7)\newline(6,18)(6, 18)\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(20,13)(20, 13)\newline(17,20)(17, 20)\newline(15,7)(15, 7)\newline(6,18)(6, 18)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define Function: Understand what a function is in terms of ordered pairs.\newlineA relation is a function if each input (first component of the ordered pair) is associated with exactly one output (second component of the ordered pair). This means that in a set of ordered pairs, no input value (xx-value) can be repeated with different output values (yy-values).
  2. Check Repeated Values: Examine the set of ordered pairs for any repeated input values with different output values.\newlineThe given set of ordered pairs is:\newline(20,13)(20, 13)\newline(17,20)(17, 20)\newline(15,7)(15, 7)\newline(6,18)(6, 18)\newlineWe need to check if any first component xx-value is repeated with a different second component yy-value.
  3. Verify Function Status: Verify if the relation is a function based on the examination.\newlineLooking at the set of ordered pairs, we see that each input value is unique and does not repeat. Therefore, each input is associated with exactly one output, which satisfies the definition of a function.

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