End Behavior of Polynomial Functions

Front

What is the degree of a polynomial function?

Back

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

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

Classify the function: y = 2x^3 + 5x - 1

Back

Cubic function.

Front

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

Back

The leading coefficient is 4.

Front

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

Back

The end behavior is up, up.

Front

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

Back

The end behavior is down, up.

Front

What is the degree of the polynomial function P(x) = 3x^4 - 7x^2 - 2x^7 - x + 4?

Back

The degree is 7.

Front

What is the end behavior of the polynomial function y = 9x^6 + x^3 + 3x^2 - 3?

Back

The end behavior is up, up.

Front

What is the degree of the polynomial function y = 25 - x^2?

Back

The degree is 2.

Front

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

Back

The leading coefficient is -5.