Polynomial End Behavior Review

Front

What is the end behavior of the polynomial function f(x)=2x²+x?

Back

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

Front

How is the end behavior of a polynomial function determined?

Back

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

Front

What is the degree and leading coefficient of the polynomial f(x)=2x⁴?

Back

Degree: 4, Leading Coefficient: 2.

Front

What are the zeros of the polynomial function f(x)=x²-5x+6?

Back

The zeros are x=2 and x=3.

Front

What does it mean if a polynomial has a leading coefficient that is negative and an odd degree?

Back

The end behavior will go to negative infinity as x approaches positive infinity and to positive infinity as x approaches negative infinity.

Front

Identify the degree and leading coefficient of the polynomial f(x)=-3x³+2x-1.

Back

Degree: 3, Leading Coefficient: -3.

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.

Front

If a polynomial has a degree of 2, what is its general shape?

Back

It is a parabola, which opens upwards if the leading coefficient is positive and downwards if negative.

Front

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

Back

Both ends of the graph will rise to positive infinity.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.