Understanding Polynomial End Behavior

What is the end behavior of the graph of y = x^2?

• Falls to both the left and right

• Rises to both the left and right

• Falls to the left and rises to the right

• Rises to the left and falls to the right

In the polynomial y = x^6 - 2x^3 + x - 3, what is the end behavior?

• Rises to both the left and right

• Falls to the left and rises to the right

• Rises to the left and falls to the right

• Falls to both the left and right

What is the end behavior of the graph of y = x^3?

• Rises to the left and falls to the right

• Falls to the left and rises to the right

• Rises to both the left and right

• Falls to both the left and right

How does the leading coefficient affect the end behavior of an even degree polynomial?

• It determines if the graph rises or falls to the left

• It has no effect on the end behavior

• It determines if the graph rises or falls to the right

• It determines if the graph rises or falls to both sides

For an odd degree polynomial with a positive leading coefficient, what is the end behavior?

• Rises to both the left and right

• Falls to both the left and right

• Falls to the left and rises to the right

• Rises to the left and falls to the right

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

• Falls to both the left and right

• Falls to the left and rises to the right

• Rises to the left and falls to the right

• Rises to both the left and right

How does the degree of a polynomial affect its end behavior?

• Even degree polynomials have opposite end behaviors

• Even degree polynomials have the same end behaviors

• Odd degree polynomials have the same end behaviors

• The degree has no effect on end behavior

What is the minimum degree of a polynomial with 7 turning points?

• 9

• 8

• 7

• 6

If a polynomial graph rises to both the left and right, what can be inferred about its degree?

• It is an even degree polynomial

• It is an odd degree polynomial

• It has a positive leading coefficient

• It has a negative leading coefficient

What can be concluded about the leading coefficient if a polynomial graph rises to both the left and right?

• The leading coefficient is undefined

• The leading coefficient is zero

• The leading coefficient is positive

• The leading coefficient is negative