Even and Odd Functions

Front

What is an even function?

Back

A function f(x) is called an even function if for every x in the domain, f(-x) = f(x). This means the graph of the function is symmetric with respect to the y-axis.

Tags

CCSS.HSF.BF.B.3

Front

What is an odd function?

Back

A function f(x) is called an odd function if for every x in the domain, f(-x) = -f(x). This means the graph of the function is symmetric with respect to the origin.

Tags

CCSS.HSF.BF.B.3

Front

What does it mean if a function is neither even nor odd?

Back

A function is neither even nor odd if it does not satisfy the conditions for being even or odd. This means that f(-x) is not equal to f(x) and also not equal to -f(x) for all x in the domain.

Tags

CCSS.HSF.BF.B.3

Front

Back

Neither even nor odd.

Tags

CCSS.HSF.BF.B.3

Front

Back

Odd function.

Tags

CCSS.HSF.BF.B.3

Front

Back

Even function.

Tags

CCSS.HSF.BF.B.3

Front

What is the graphical representation of an even function?

Back

The graph of an even function is symmetric about the y-axis.

Tags

CCSS.HSF.BF.B.3

Front

What is the graphical representation of an odd function?

Back

The graph of an odd function is symmetric about the origin.

Tags

CCSS.HSF.BF.B.3

Front

Give an example of an even function.

Back

Tags

CCSS.HSF.BF.B.3

Front

Give an example of an odd function.

Back

Tags

CCSS.HSF.BF.B.3