End Behavior of Polynomials

Front

What is the end behavior of the polynomial f(x) = 3x^2 + 5x - 9?

Back

The end behavior is UP and UP.

Front

What is the end behavior of the polynomial f(x) = -3x^2 - 5x + 12?

Back

The end behavior is DOWN and DOWN.

Front

What does the graph of a polynomial not show if it has an absolute maximum?

Back

The graph does not show an absolute maximum.

Front

What term in a polynomial affects its end behavior?

Back

The Leading Term affects the end behavior.

Front

What is the degree of the polynomial 3y^2 + y^4 + 4?

Back

The degree is 4.

Front

How does the leading coefficient of a polynomial affect its end behavior?

Back

If the leading coefficient is positive, the ends of the graph will go up; if negative, the ends will go down.

Front

What is the significance of the degree of a polynomial in determining its end behavior?

Back

The degree determines the number of times the graph can turn and the overall direction of the ends.

Front

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

Back

The end behavior is UP and UP.

Front

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

Back

The end behavior is DOWN on the left and UP on the right.

Front

What is the difference between absolute maximum and relative maximum in polynomial graphs?

Back

Absolute maximum is the highest point over the entire graph, while relative maximum is the highest point in a specific interval.