End Behavior and Polynomial Functions LC

Front

Back

4

Front

What does the leading coefficient and degree of a polynomial graph indicate if it is Positive/Even?

Back

The graph rises to the right and left.

Front

What is the domain of a polynomial function?

Back

The domain of a polynomial function is always (-∞, +∞).

Front

What is the least degree possible for a polynomial function?

Back

The least degree possible is 0.

Front

What is a polynomial function?

Back

Front

What is the leading coefficient of a polynomial?

Back

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

Front

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

Back

The degree determines whether the ends of the graph rise or fall as x approaches ±∞.

Front

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

Back

The graph falls to the left and rises to the right.

Front

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

Back

The graph rises to the left and right.

Front

What is the significance of the roots of a polynomial function?

Back

The roots (or zeros) are the x-values where the polynomial equals zero, indicating where the graph intersects the x-axis.