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Look at this set of ordered pairs:\newline(1,17)(1, 17)\newline(2,19)(2, 19)\newline(8,1)(8, 1)\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(1,17)(1, 17)\newline(2,19)(2, 19)\newline(8,1)(8, 1)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define Function in Ordered Pairs: Define what a function is in terms of ordered pairs.\newlineA relation is a function if each input (first component of the ordered pairs) has exactly one output (second component of the ordered pairs). This means that in a set of ordered pairs, no two pairs can have the same first component with different second components.
  2. Examine Given Ordered Pairs: Examine the given set of ordered pairs to see if any input value is repeated with a different output value.\newlineThe given set of ordered pairs is:\newline(1,17)(1, 17)\newline(2,19)(2, 19)\newline(8,1)(8, 1)\newlineWe can see that each input value (1,2,8)(1, 2, 8) is unique and does not repeat. Therefore, each input has only one output associated with it.
  3. Determine Relation as Function: Determine if the relation is a function based on the examination in Step 22. Since there are no repeated input values with different output values, the relation given by the set of ordered pairs is a function.

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