How to Determine If a Polynomial is Even or Odd Algebraically

The video tutorial covers graphing functions using a calculator, checking for symmetry, and analyzing functions to determine if they are even, odd, or neither. It explains how to transform functions and check their symmetry about the y-axis and the origin. The tutorial also clarifies the concepts of even and odd functions, emphasizing their symmetrical properties.

What tool can be used to verify the symmetry of functions?

• A protractor

• A graph calculator

• A compass

• A ruler

What is the result when you multiply the whole function by a negative?

• The function becomes even

• The function becomes odd

• The function remains unchanged

• The function is neither even nor odd

How are even functions symmetrical?

• About the line y = x

• About the X-axis

• About the origin

• About the Y-axis

What does it mean for a function to be symmetrical about the origin?

• It cannot be reflected at all

• It can be reflected over both the X and Y axes

• It can be reflected over the Y-axis only

• It can be reflected over the X-axis only

Which of the following is true about odd functions?

• They are not symmetrical

• They are symmetrical about the X-axis

• They are symmetrical about the origin

• They are symmetrical about the Y-axis