Polynomial End Behavior Review

Front

What determines the end behavior of a polynomial function?

Back

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

Front

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

Back

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

Front

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

Back

As x approaches both positive and negative infinity, f(x) approaches positive infinity.

Front

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

Back

As x approaches both positive and negative infinity, f(x) approaches negative infinity.

Front

What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

Back

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

Front

How do you identify the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

How do you identify the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree.

Front

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

Back

Degree: 4, Leading Coefficient: 3.

Front

What is the degree and leading coefficient of the polynomial y = -2x^3 + 4x + 1?

Back

Degree: 3, Leading Coefficient: -2.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of the terms.