End Behavior entry problem

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 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 odd degree?

Back

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

Front

Describe the end behavior of the function f(x) = 3x^4 + 2x - 5.

Back

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

Front

What is the end behavior of the function y = -6x + 4 + 9x^3?

Back

The end behavior is low to high.

Front

If a polynomial has an odd degree and a positive leading coefficient, what is its end behavior?

Back

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

Front

What does it mean for a polynomial to have 'low to low' end behavior?

Back

It means that as x approaches both positive and negative infinity, the function approaches negative infinity.

Front

What is the significance of the leading coefficient in determining end behavior?

Back

The leading coefficient determines whether the ends of the graph rise or fall as x approaches infinity or negative infinity.

Front

How can you identify the end behavior of a polynomial function from its graph?

Back

By observing the direction in which the graph heads as x approaches positive and negative infinity.

Front

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

Back

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