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Look at this set of ordered pairs:\newline(3,16)(3, 16)\newline(0,8)(0, 8)\newline(4,7)(4, 7)\newline(1,11)(1, 11)\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(3,16)(3, 16)\newline(0,8)(0, 8)\newline(4,7)(4, 7)\newline(1,11)(1, 11)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check Function Criteria: To determine if a set of ordered pairs represents a function, we need to check if each input (the first number in each ordered pair) maps to exactly one output (the second number in each ordered pair). A function cannot have an input that corresponds to more than one output.
  2. Examine Given Ordered Pairs: Let's examine the given set of ordered pairs:\newline(3,16),(0,8),(4,7),(1,11)(3, 16), (0, 8), (4, 7), (1, 11)\newlineWe need to check if any input value (the first element of each ordered pair) is repeated with a different output value.
  3. Check for Repeated Inputs: Looking at the input values, we have 33, 00, 44, and 11. None of these input values are repeated, which means each input has a unique output.
  4. Verify Unique Outputs: Since each input has a unique output and no input is associated with more than one output, the set of ordered pairs does represent a function.

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