Polynomial End Behavior

Front

What determines the end behavior of a polynomial's graph?

Back

The degree and the sign of the leading coefficient (positive or negative) of the polynomial.

Front

How do you find the degree of a polynomial?

Back

The degree of a polynomial is determined by the largest powered monomial in the polynomial.

Front

What is the end behavior of the polynomial f(x) = -2x² + 3x?

Back

Left down, Right down.

Front

What is the degree of the polynomial f(x) = 3x² + 4x - 5?

Back

Degree 2 (quadratic).

Front

What is the end behavior of the polynomial f(x) = -x⁵ - 4x + 2?

Back

Left up, Right down.

Front

What is the end behavior of the polynomial f(x) = 2x³ - x + 5?

Back

Left down, Right up.

Front

What is the leading coefficient of the polynomial f(x) = -4x³ - 2x + 5?

Back

The leading coefficient is -4.

Front

What is the leading coefficient of the polynomial f(x) = 5x⁴ + 3x² - x?

Back

The leading coefficient is 5.

Front

If a polynomial has a degree of 3, what type of polynomial is it?

Back

It is a cubic polynomial.

Front

What is the end behavior of a polynomial with an even degree and a positive leading coefficient?

Back

Both ends of the graph will go up.