End behavior

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 of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What is the leading coefficient?

Back

The coefficient of the term with the highest degree in a polynomial.

Front

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

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What does it mean for a polynomial to have a degree of 0?

Back

It means the polynomial is a constant function.

Front

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

Back

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

Front

What is the end behavior of the polynomial f(x) = 4x^4 - 3x + 1?

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞.