End Behavior and Polynomial Functions LC

Front

What is the least degree possible for a polynomial function?

Back

The least degree possible for a polynomial function is the smallest integer that represents the highest power of the variable in the polynomial.

Front

What does the leading coefficient of a polynomial indicate about its end behavior?

Back

The leading coefficient determines the direction of the graph as x approaches positive or negative infinity. A positive leading coefficient means the graph rises to the right, while a negative leading coefficient means it falls to the right.

Front

Back

The degree of the polynomial is 4, as it is the sum of the degrees of each factor.

Front

What is the domain of a polynomial function?

Back

The domain of a polynomial function is always (-∞, +∞), meaning it includes all real numbers.

Front

How does the degree of a polynomial affect its end behavior?

Back

The degree of a polynomial affects its end behavior: even degrees have the same end behavior (both ends up or both ends down), while odd degrees have opposite end behavior (one end up and one end down).

Front

What is the significance of a polynomial having an odd degree with a positive leading coefficient?

Back

A polynomial with an odd degree and a positive leading coefficient will rise to the right and fall to the left.

Front

What is the significance of a polynomial having an even degree with a negative leading coefficient?

Back

A polynomial with an even degree and a negative leading coefficient will fall to both the left and the right.

Front

What is 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 standard form of a polynomial?

Back

Front

What is the leading term of a polynomial?

Back

The leading term of a polynomial is the term with the highest degree, which determines the polynomial's end behavior.