End Behavior of Polynomials

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does a positive leading coefficient indicate about the end behavior of a polynomial graph with an even degree?

Back

The graph will rise to the right and rise to the left (up, up).

Front

What does a negative leading coefficient indicate about the end behavior of a polynomial graph with an even degree?

Back

The graph will fall to the right and fall to the left (down, down).

Front

What does a positive leading coefficient indicate about the end behavior of a polynomial graph with an odd degree?

Back

The graph will fall to the left and rise to the right (down, up).

Front

What does a negative leading coefficient indicate about the end behavior of a polynomial graph with an odd degree?

Back

The graph will rise to the left and fall to the right (up, down).

Front

How can you determine the end behavior of a polynomial function?

Back

By analyzing the leading coefficient and the degree of the polynomial.

Front

What is the degree of a polynomial?

Back

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

Front

If a polynomial has a degree of 4 and a positive leading coefficient, what is the end behavior?

Back

The graph will rise to the left and rise to the right (up, up).

Front

If a polynomial has a degree of 3 and a negative leading coefficient, what is the end behavior?

Back

The graph will rise to the left and fall to the right (up, down).

Front

What is the significance of the leading coefficient in determining the end behavior of a polynomial?

Back

The leading coefficient determines the direction in which the graph rises or falls at the ends.