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Which of the following describes a polynomial that is not a function?

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Question: Which of the following describes a polynomial that is not a function?

Options:

  1. A polynomial with a degree of 0.
  2. A polynomial with a degree of 1.
  3. A polynomial that includes a variable in the denominator.
  4. A polynomial with complex coefficients.

Correct Answer: A polynomial that includes a variable in the denominator.

Solution: 

A polynomial that includes a variable in the denominator is not a polynomial function.

Which of the following describes a polynomial that is not a function?

Practice Questions

Q1
Which of the following describes a polynomial that is not a function?
  1. A polynomial with a degree of 0.
  2. A polynomial with a degree of 1.
  3. A polynomial that includes a variable in the denominator.
  4. A polynomial with complex coefficients.

Questions & Step-by-Step Solutions

Which of the following describes a polynomial that is not a function?
  • Step 1: Understand what a polynomial is. A polynomial is an expression made up of variables and coefficients, combined using addition, subtraction, and multiplication, but not division by a variable.
  • Step 2: Recognize that a function is a special type of relation where each input (x-value) has exactly one output (y-value).
  • Step 3: Identify that if a polynomial has a variable in the denominator (like 1/x), it can lead to multiple outputs for the same input, which means it is not a function.
  • Step 4: Conclude that any polynomial that includes a variable in the denominator does not meet the criteria of a polynomial function.
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