Polynomial End Behavior Review

Front

What is the end behavior of a polynomial function?

Back

The end behavior of a polynomial function describes how the function behaves as x approaches positive or negative infinity.

Front

What determines the end behavior of a polynomial function?

Back

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

Front

If the leading coefficient is positive and the degree is even, what is the end behavior?

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞.

Front

If the leading coefficient is negative and the degree is even, what is the end behavior?

Back

As x → ∞, y → -∞ and as x → -∞, y → -∞.

Front

If the leading coefficient is positive and the degree is odd, what is the end behavior?

Back

As x → ∞, y → ∞ and as x → -∞, y → -∞.

Front

If the leading coefficient is negative and the degree is odd, what is the end behavior?

Back

As x → ∞, y → -∞ and as x → -∞, y → ∞.

Front

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

Back

The degree is 4.

Front

What is the leading coefficient of the polynomial f(x) = -2x^5 + 3x^2 + 1?

Back

The leading coefficient is -2.

Front

How do you identify the end behavior from a polynomial's graph?

Back

Look at the direction the graph heads as x approaches positive and negative infinity.

Front

What is the end behavior of f(x) = x^6 + 5x?

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞.