(4.1) Graphing Polynomial Functions

Front

What is the end behavior of the polynomial function f(x) = -7x^3 + 2x - 1?

Back

As x → ∞, f(x) → -∞. As x → -∞, f(x) → ∞.

Front

What is the degree of the polynomial f(x) = 3x^2 + 4x - 5?

Back

Degree 2 (quadratic).

Front

Complete the end behavior: As x → -∞, f(x) → ____; As x → +∞, f(x) → ____ for a polynomial that goes down on both ends.

Back

As x → -∞, f(x) → -∞; As x → +∞, f(x) → -∞.

Front

Identify the constant term in the polynomial 4x^3 + 2x - 9.

Back

-9.

Front

What is the end behavior of the polynomial f(x) = 3x^2 + 5x - 9?

Back

UP and UP.

Front

Define a polynomial function.

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

What is the leading coefficient of the polynomial f(x) = -7x^3 + 2x - 1?

Back

-7.

Front

How do you determine the degree of a polynomial?

Back

The degree of a polynomial is determined by the highest power of the variable in the polynomial.

Front

What does it mean for a polynomial to have a degree of 3?

Back

It means the polynomial is cubic and can have up to 3 real roots.

Front

What is the significance of the constant term in a polynomial?

Back

The constant term is the value of the polynomial when the variable is zero.