End Behavior

Front

What determines the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient.

Front

What is the end behavior of a polynomial function with a positive leading coefficient and an even degree as x approaches -∞?

Back

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

Front

What is the end behavior of a polynomial function with a positive leading coefficient and an even degree as x approaches +∞?

Back

As x approaches +∞, f(x) approaches +∞.

Front

What is the end behavior of a polynomial function with a negative leading coefficient and an even degree as x approaches -∞?

Back

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

Front

What is the end behavior of a polynomial function with a negative leading coefficient and an even degree as x approaches +∞?

Back

As x approaches +∞, f(x) approaches +∞.

Front

What is the end behavior of a polynomial function with a positive leading coefficient and an odd degree as x approaches -∞?

Back

As x approaches -∞, f(x) approaches -∞.

Front

What is the end behavior of a polynomial function with a positive leading coefficient and an odd degree as x approaches +∞?

Back

As x approaches +∞, f(x) approaches +∞.

Front

What is the end behavior of a polynomial function with a negative leading coefficient and an odd degree as x approaches -∞?

Back

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

Front

What is the end behavior of a polynomial function with a negative leading coefficient and an odd degree as x approaches +∞?

Back

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

Front

What is the degree of a polynomial function?

Back

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