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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