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

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

Back

The leading coefficient is -4.

Front

How do you determine the degree of a polynomial?

Back

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

Front

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

Back

Degree 3.

Front

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

Back

Degree 2 (quadratic).

Front

Determine the end behavior of f(x) = -2x^2 + 3x.

Back

Left down, Right down.

Front

Determine the end behavior of f(x) = 2x^3 - x + 5.

Back

Left down, Right up.

Front

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

Back

The leading coefficient is 5.

Front

What is the degree of the polynomial f(x) = 7x^5 - 4x^3 + x?

Back

Degree 5.

Front

If a polynomial has a leading coefficient that is positive and an even degree, what is the end behavior?

Back

Left up, Right up.