U6D1 Polynomials End Behavior

Front

What determines the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient.

Front

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

Back

UP-UP

Front

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

Back

DOWN-DOWN

Front

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

Back

UP-DOWN

Front

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

Back

DOWN-UP

Front

If a polynomial has a leading coefficient of 5 and a degree of 4, what is its end behavior?

Back

UP-UP

Front

Identify the degree and leading coefficient of the polynomial f(x) = -2x^7 + 3x^4 + 1.

Back

Degree: 7 (Odd), Leading Coefficient: -2 (Negative).

Front

What is the degree of the polynomial f(x) = 4x^5 - 4x^4 + 2x^3 - 9?

Back

Degree: 5 (Odd).

Front

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

Back

The sign of the leading coefficient determines whether the ends of the graph go up or down.

Front

What is the end behavior of the polynomial f(x) = 3x^8 + 3x^5 - 4x + 7?

Back

UP-UP.