Polynomial End Behavior

Front

What is a polynomial?

Back

Front

What is the degree of a polynomial?

Back

Front

What is the leading coefficient?

Back

Front

What is end behavior in polynomials?

Back

End behavior describes how the values of a polynomial function behave as the input values (x) approach positive or negative infinity.

Front

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

Back

If the degree is even, both ends of the graph will point in the same direction (either both up or both down). If the degree is odd, the ends will point in opposite directions.

Front

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

Back

As x approaches -∞, f(x) approaches +∞; as x approaches +∞, f(x) approaches +∞.

Front

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

Back

As x approaches -∞, f(x) approaches -∞; as x approaches +∞, f(x) approaches -∞.

Front

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

Back

As x approaches -∞, f(x) approaches -∞; as x approaches +∞, f(x) approaches +∞.

Front

What is the end behavior of a polynomial with an odd degree and a negative leading coefficient?

Back

As x approaches -∞, f(x) approaches +∞; as x approaches +∞, f(x) approaches -∞.

Front

Back

The degree is 3.