Understanding Cubic Functions

What is the degree of a cubic function?

• 3

• 1

• 2

• 4

In a polynomial function, what does the leading coefficient refer to?

• The smallest coefficient

• The coefficient of the linear term

• The coefficient of the term with the highest exponent

• The constant term

What is the standard form of a polynomial function?

• Arranging terms from highest to lowest exponent

• Arranging terms based on coefficients

• Arranging terms from lowest to highest exponent

• Arranging terms in alphabetical order

Which of the following is a characteristic of a cubic function?

• It must have a linear term

• It must have an x squared term

• It must have an x cubed term

• It must have a constant term

How does the leading coefficient affect the end behavior of a cubic function?

• It determines the y-intercept

• It affects the direction of the graph's endpoints

• It changes the degree of the function

• It has no effect on the graph

What happens to the endpoints of a cubic function with an odd degree and a positive leading coefficient?

• One endpoint goes up and the other goes down

• Both endpoints go up

• The endpoints remain constant

• Both endpoints go down

In the context of cubic functions, what does 'end behavior' refer to?

• The behavior of the graph as x approaches positive or negative infinity

• The behavior of the graph at the x-intercept

• The behavior of the graph at the y-intercept

• The behavior of the graph at the origin

If a cubic function has a negative leading coefficient, what can be said about its end behavior?

• The endpoints remain constant

• Both endpoints go up

• Both endpoints go down

• One endpoint goes up and the other goes down

What is the end behavior of a cubic function with a positive leading coefficient on the right side?

• The function approaches positive infinity

• The function approaches zero

• The function remains constant

• The function approaches negative infinity

For a cubic function with an odd degree and a negative leading coefficient, what is the end behavior on the left side?

• The function approaches negative infinity

• The function remains constant

• The function approaches zero

• The function approaches positive infinity