Which of the following relations is not a function?

Practice Questions

Q1
Which of the following relations is not a function?
  1. R = {(1, 2), (2, 3), (3, 4)}
  2. R = {(1, 2), (1, 3)}
  3. R = {(2, 3), (3, 4)}
  4. R = {(4, 5), (5, 6)}

Questions & Step-by-Step Solutions

Which of the following relations is not a function?
  • Step 1: Understand what a function is. A function is a relation where each input (or 'x' value) has exactly one output (or 'y' value).
  • Step 2: Look at the given relation R = {(1, 2), (1, 3)}. This means that the input 1 is paired with two different outputs: 2 and 3.
  • Step 3: Check if any input has more than one output. In this case, the input 1 has outputs 2 and 3.
  • Step 4: Since the input 1 maps to two different outputs, this means R is not a function.
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