What is not a polynomial function?
Understand the Problem
The question is asking for examples or characteristics of functions that do not fit the criteria of polynomial functions, such as rational functions with negative exponents, exponential functions, or trigonometric functions.
Answer
Expressions with negative exponents, fractional exponents, radicals, or variables in the denominator.
Expressions with negative exponents, fractional exponents, radicals, or variables in the denominator are not polynomial functions.
Answer for screen readers
Expressions with negative exponents, fractional exponents, radicals, or variables in the denominator are not polynomial functions.
More Information
A polynomial function is one that is composed of variables and coefficients, involving only non-negative integer powers of variables. This means it can include terms like x^2, x^3, etc., but not terms like x^-2, √x, 1/x, sin(x), or ln(x).
Tips
A common mistake is to include expressions with variables in the denominator or with fractional exponents; these are not polynomials as they do not meet the necessary criteria.
Sources
- Types of Polynomials - Cuemath - cuemath.com
- Polynomial Rules: What Defines Polynomials? - Owlcation - owlcation.com
- Polynomials: Their Terms, Names, and Rules Explained - Purplemath - purplemath.com
