End Behavior of Polynomials

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 an even degree and a positive leading coefficient?

Back

As x approaches positive or negative infinity, the function 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 positive or negative infinity, the function 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, the function approaches positive infinity, and as x approaches negative infinity, the function approaches negative infinity.

Front

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

Back

As x approaches positive infinity, the function approaches negative infinity, and as x approaches negative infinity, the function approaches positive infinity.

Front

How can you identify the degree of a polynomial from its equation?

Back

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

Front

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

Back

The leading coefficient is -3.

Front

If a polynomial has a degree of 5, what type of degree is it?

Back

It is an odd degree.

Front

What is the degree of the polynomial function f(x) = 2x^6 - 4x^2 + 3?

Back

The degree is 6, which is even.

Front

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

Back

The leading coefficient is 1.