End Behavior

Front

What is end behavior in graphing functions?

Back

End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

Front

What does it mean if a function has a positive leading coefficient?

Back

If a function has a positive leading coefficient, the graph will rise to the right as @@x ightarrow ext{infinity}@@.

Front

What does it mean if a function has a negative leading coefficient?

Back

If a function has a negative leading coefficient, the graph will fall to the right as @@x ightarrow ext{infinity}@@.

Front

What is the degree of a polynomial?

Back

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

Front

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

Back

Front

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

Back

Front

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

Back

Front

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

Back

Front

What is the difference between odd and even degrees in polynomials?

Back

Odd degree polynomials have opposite end behaviors, while even degree polynomials have the same end behavior.

Front

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

Back

You can determine the end behavior by looking at the degree and the leading coefficient of the polynomial.