Understanding Polynomial Functions

What is the primary goal when graphing cubic functions as mentioned in the video?

• To graph them using only a ruler

• To graph them without any tools

• To graph them using technology

• To graph them by hand only

What are the exponents in a polynomial function?

• Any positive integer

• Any real number

• Any negative integer

• Any non-negative integer

Which of the following is a polynomial function of degree 1?

• F(x) = -4

• F(x) = 3x - 8

• F(x) = x^2 - x - 12

• F(x) = -x^3 + x^2 - 3x + 7

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

• Degree 2

• Degree 1

• Degree 0

• Degree 3

What is the first step in graphing a basic cubic function by hand?

• Use a calculator

• Make a T table

• Draw a straight line

• Estimate the curve

What is the result of cubing the number -2?

• 8

• 0

• -4

• -8

How does adding the term -4x to a cubic function affect its graph?

• It makes the graph linear

• It adds more curves

• It has no effect

• It makes the graph a straight line

What tool is suggested for accurately graphing complex cubic functions?

• A ruler

• Technology

• A protractor

• A compass

What does changing the value of 'A' in a cubic function affect?

• The graph's behavior

• The color of the graph

• The x-intercept

• The y-intercept

What is the effect of changing the value of 'D' in a cubic function?

• It alters the degree

• It changes the x-intercept

• It affects the y-intercept

• It changes the slope