Which of the following describes a polynomial function?

Practice Questions

Q1
Which of the following describes a polynomial function?
  1. A function that can be expressed as a sum of powers of x with constant coefficients.
  2. A function that includes variables in the denominator.
  3. A function that has a variable exponent.
  4. A function that is defined only for integer values of x.

Questions & Step-by-Step Solutions

Which of the following describes a polynomial function?
  • Step 1: Understand what a function is. A function is a relationship where each input (x) has one output (y).
  • Step 2: Know that a polynomial function is a specific type of function.
  • Step 3: A polynomial function can be written in the form of a sum. This means you add together different parts.
  • Step 4: Each part of the sum is a power of x. This means you raise x to different whole number exponents (like x^2, x^3, etc.).
  • Step 5: Each power of x is multiplied by a constant coefficient. A constant is just a fixed number (like 2, -3, 0.5, etc.).
  • Step 6: Combine all these parts together to form the polynomial function. For example, f(x) = 2x^3 + 3x^2 - x + 5 is a polynomial function.
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