End Behavior of Polynomials

Front

What is the end behavior of the polynomial function f(x) = 3x^4 + 2x - 5 as x → ∞?

Back

As x → ∞, f(x) → ∞.

Front

What is the end behavior of the polynomial function f(x) = 3x^4 + 2x - 5 as x → -∞?

Back

As x → -∞, f(x) → ∞.

Front

What determines the end behavior of a polynomial function?

Back

The degree and the sign of the leading coefficient.

Front

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

Back

Degree - Even, Leading Coefficient Positive.

Front

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

Back

Degree - Even, Leading Coefficient Negative.

Front

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

Back

As x → ∞, f(x) → -∞.

Front

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

Back

As x → -∞, f(x) → ∞.

Front

Which polynomial has the end behavior where f(x) → ∞ as x → ∞ and f(x) → ∞ as x → -∞?

Back

f(x) = x^4 + 3x^3 - 4x + 1.

Front

What is the degree and leading coefficient of the polynomial f(x) = x^5 - 4x^4 + 2x^2 - 1?

Back

Degree - Odd, Leading Coefficient Positive.

Front

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

Back

As x → ∞, f(x) → -∞.