End Behavior Checkpoint

Front

What is end behavior in the context of polynomial functions?

Back

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

Front

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

Back

The end behavior can be determined by the leading term of the polynomial, specifically its degree and leading coefficient.

Front

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

Back

If a polynomial has a negative leading coefficient, the end behavior will decrease (go down) as x approaches positive infinity for even-degree polynomials.

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of x in the polynomial and affects the end behavior and the number of roots.

Front

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

Back

The end behavior will rise (go up) as x approaches both positive and negative infinity.

Front

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

Back

The end behavior will decrease (go down) as x approaches positive infinity and increase (go up) as x approaches negative infinity.

Front

How can you identify the leading coefficient of a polynomial?

Back

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

Front

What is the end behavior of the polynomial h(x) = -2x^4 + 5x^3 - 4x - 22?

Back

The end behavior is Down, Down, as the leading term is -2x^4 (even degree, negative leading coefficient).

Front

What is the degree of the polynomial h(x) = -2x^4 + 5x^3 - 4x - 22?

Back

The degree of the polynomial is 4.

Front

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

Back

The end behavior will increase (go up) as x approaches positive infinity and decrease (go down) as x approaches negative infinity.