Degree, leading coefficient, end behavior

Front

What is the degree of the polynomial f(x) = 2x^3 - 3x^2 + 4x - 10?

Back

3

Front

What is the leading coefficient of the polynomial f(x) = -3x^4 + 2x^3 - 5x^2 + 7x - 8?

Back

-3

Front

What does the end behavior of a polynomial describe?

Back

The behavior of the polynomial as x approaches positive or negative infinity.

Front

If the leading term of a polynomial is negative and has an even degree, what is the end behavior?

Back

As x approaches positive or negative infinity, f(x) approaches negative infinity.

Front

What is the leading term of the polynomial f(x) = 4x^5 - 2x^3 + x - 1?

Back

4x^5

Front

How do you determine the degree of a polynomial?

Back

The degree is the highest exponent of the variable in the polynomial.

Front

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

Back

As x approaches positive infinity, f(x) approaches positive infinity; as x approaches negative infinity, f(x) approaches negative infinity.

Front

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

Back

5

Front

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

Back

As x approaches positive infinity, f(x) approaches positive infinity; as x approaches negative infinity, f(x) approaches negative infinity.

Front

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

Back

The sign of the leading coefficient affects whether the ends of the graph rise or fall.