What is the range of the function represented by the input-output pairs: (1, 5), (2, 8), (5, 3), (13, 4)?

To determine the range of the function defined by the pairs (1, 5), (2, 8), (5, 3), and (13, 4), we need to look at the second value in each pair. The range of a function is defined as the set of all possible output values.

  • For the input 1, the output is 5.
  • For the input 2, the output is 8.
  • For the input 5, the output is 3.
  • For the input 13, the output is 4.

Now, let’s compile the outputs:

  • 5
  • 8
  • 3
  • 4

Next, we gather these outputs into a single set to avoid duplicates:

  • 5
  • 8
  • 3
  • 4

Thus, the complete, unique range of the function can be expressed as:

{3, 4, 5, 8}

So, the range of the function is {3, 4, 5, 8}.

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