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Look at this set of ordered pairs:\newline(0,3)(0, 3)\newline(0,4)(0, 4)\newline(6,1)(6, 1)\newline(8,18)(8, 18)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Look at this set of ordered pairs:\newline(0,3)(0, 3)\newline(0,4)(0, 4)\newline(6,1)(6, 1)\newline(8,18)(8, 18)\newlineIs this relation a function?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand function definition: Step 11: Understand the definition of a function. A relation is a function if each input (xx-value) has exactly one output (yy-value).
  2. Examine ordered pairs: Step 22: Examine the given ordered pairs for repeated xx-values with different yy-values: (0,3),(0,4),(6,1),(8,18)(0, 3), (0, 4), (6, 1), (8, 18). Here, the xx-value 00 corresponds to two different yy-values, 33 and 44.
  3. Identify non-function relation: Step 33: Since the xx-value 00 maps to more than one yy-value, the relation is not a function.

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