Is the function even or odd? from a graph

The video tutorial explains the concepts of even and odd functions through the lens of symmetry. It begins by introducing the idea of symmetry in graphs, particularly focusing on the Y-axis for even functions and the origin for odd functions. The teacher elaborates on how to identify these symmetries and what they imply about the function. The session concludes with a brief discussion, emphasizing the importance of understanding symmetry in functions.

What characteristic defines an even function in terms of symmetry?

• Symmetry about the origin

• Symmetry about the Y-axis

• No symmetry

• Symmetry about the X-axis

How can you identify an odd function based on its symmetry?

• It has no symmetry

• It is symmetrical about the origin

• It is symmetrical about the Y-axis

• It is symmetrical about the X-axis

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

• It can be flipped about the X-axis only

• It can be flipped about both the Y and X axes

• It cannot be flipped

• It can be flipped about the Y-axis only

Which of the following is NOT a characteristic of an odd function?

• None of the above

• Symmetrical about the origin

• Symmetrical about the Y-axis

• Can be flipped about both axes

What is the conclusion about graphs that do not exhibit symmetry?

• They are even functions

• They are odd functions

• They are neither even nor odd

• They are both even and odd