Which of the following describes a polynomial function?

₹0.0

Question: Which of the following describes a polynomial function?

Options:

A function that can be expressed as a sum of powers of x with constant coefficients.
A function that includes variables in the denominator.
A function that has a variable exponent.
A function that is defined only for integer values of x.

Correct Answer: A function that can be expressed as a sum of powers of x with constant coefficients.

Solution:

A polynomial function is defined as a function that can be expressed as a sum of powers of x with constant coefficients.

Which of the following describes a polynomial function?

A function that can be expressed as a sum of powers of x with constant coefficients.
A function that includes variables in the denominator.
A function that has a variable exponent.
A function that is defined only for integer values of x.

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.

No concepts available.