End Behavior Polynomials

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 a positive leading coefficient and an odd degree?

Back

As x → -∞, f(x) → -∞ and as x → ∞, f(x) → ∞.

Front

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

Back

As x → -∞, f(x) → ∞ and as x → ∞, f(x) → -∞.

Front

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

Back

As x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞.

Front

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

Back

As x → -∞, f(x) → -∞ and as x → ∞, f(x) → -∞.

Front

Identify the leading coefficient and degree of the polynomial: 3x^4 - 5x^2 + 2.

Back

Leading Coefficient: 3, Degree: 4 (Even).

Front

Identify the leading coefficient and degree of the polynomial: -2x^7 + 2x^4 + 4.

Back

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

Front

What is the end behavior of the function y = x^6 - 7x^5 + 7x - 9?

Back

As x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞.

Front

What is the end behavior as x → +∞ for the function f(x) = -x^3 + 4x + 1?

Back

As x → +∞, f(x) → -∞.

Front

What is the end behavior as x → -∞ for the function f(x) = 2x^5 - 3x^2 + 1?

Back

As x → -∞, f(x) → -∞.