Characteristics of Polynomial Functions

This video is the second lecture on polynomial functions, focusing on lesson 3.2 about the characteristics of polynomial functions. It explains how polynomial functions can be classified as odd, even, or neither, based on their degree and end behavior. Odd functions have graphs with opposite end behaviors and are not symmetric to the y-axis, while even functions have graphs with the same end behaviors and are symmetric to the y-axis. The video also covers basic properties of these functions, such as the sum and product of even and odd functions. The lecture concludes with a reminder to complete and upload assignments.

What is the main topic of the second lecture in unit three?

• Graphing linear functions

• Polynomial equations

• Solving quadratic equations

• Characteristics of polynomial functions

How can polynomial functions be classified?

• As odd, even, or neither

• By their coefficients

• By their intercepts

• By their roots

What is a characteristic of an odd function?

• End behaviors are on opposite ends

• Both ends go to negative infinity

• Symmetric to the Y-axis

• Both ends go to positive infinity

Which of the following is true for an odd function?

• f(x) = f(-x)

• f(x) = -f(x)

• f(x) + f(-x) = 0

• f(x) = 0

What is the degree of the polynomial shown as an example of an odd function?

• 5

• 4

• 3

• 2

What is a characteristic of an even function?

• Symmetric to the Y-axis

• f(x) + f(-x) = 0

• End behaviors are on opposite ends

• f(x) = -f(x)

Which of the following is true for an even function?

• f(x) = 0

• f(x) = f(-x)

• f(x) = -f(x)

• f(x) + f(-x) = 0

What is the degree of the polynomial shown as an example of an even function?

• 4

• 5

• 3

• 2

Which function is both even and odd?

• Linear function

• Quadratic function

• Constant function identically zero

• Cubic function

What is the sum of an even and an odd function?

• Both even and odd

• Neither even nor odd

• Odd

• Even