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Which of the following best describes a function that is one-to-one?

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Question: Which of the following best describes a function that is one-to-one?

Options:

  1. Each output is paired with exactly one input.
  2. Each input corresponds to multiple outputs.
  3. The graph is symmetric about the origin.
  4. The function is always increasing.

Correct Answer: Each output is paired with exactly one input.

Solution: 

A one-to-one function has each output paired with exactly one input, meaning it passes the horizontal line test.

Which of the following best describes a function that is one-to-one?

Practice Questions

Q1
Which of the following best describes a function that is one-to-one?
  1. Each output is paired with exactly one input.
  2. Each input corresponds to multiple outputs.
  3. The graph is symmetric about the origin.
  4. The function is always increasing.

Questions & Step-by-Step Solutions

Which of the following best describes a function that is one-to-one?
  • Step 1: Understand what a function is. A function takes an input and gives an output.
  • Step 2: Know that in a one-to-one function, each output is linked to only one input.
  • Step 3: Visualize this with a graph. If you draw a horizontal line across the graph, it should only touch the graph at one point for each output.
  • Step 4: If a horizontal line touches the graph at more than one point, the function is not one-to-one.
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