End Behavior

Front

What is end behavior in the context of polynomials?

Back

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

Front

What does @@f(x) ightarrow ext{-}\infty@@ indicate about a function's end behavior?

Back

It indicates that as x approaches infinity, the function's output (f(x)) decreases without bound.

Front

What does @@f(x) ightarrow ext{+}\\infty@@ indicate about a function's end behavior?

Back

It indicates that as x approaches infinity, the function's output (f(x)) increases without bound.

Front

What is the degree of a polynomial?

Back

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

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

If a polynomial has an even degree and a positive leading coefficient, what is its end behavior?

Back

Front

If a polynomial has an odd degree and a negative leading coefficient, what is its end behavior?

Back

Front

What does it mean if a function goes up on the left?

Back

Front

What does it mean if a function goes down on the right?

Back

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 leading coefficient of the polynomial.