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?
A polynomial with a degree of 0.
A polynomial with a degree of 1.
A polynomial that includes a variable in the denominator.
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.
