Even and Odd Functions Analysis

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

Tags

CCSS.HSF.BF.B.3

Front

What is the average rate of change of a function?

Back

The average rate of change of a function f(x) on the interval [a, b] is given by the formula: (f(b) - f(a)) / (b - a).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Back

The function is neither even nor odd.

Tags

CCSS.HSF.BF.B.3

Front

Back

The function is neither even nor odd.

Tags

CCSS.HSF.BF.B.3

Front

Back

The function is odd.

Tags

CCSS.HSF.BF.B.3

Front

What is the symmetry of even functions?

Back

Even functions are symmetric about the y-axis.

Tags

CCSS.HSF.BF.B.3

Front

What is the symmetry of odd functions?

Back

Odd functions are symmetric about the origin.

Tags

CCSS.HSF.BF.B.3

Front

If f(x) is an even function, what can be said about f(-x)?

Back

If f(x) is an even function, then f(-x) = f(x) for all x in the domain.

Tags

CCSS.HSF.BF.B.3

Front

If f(x) is an odd function, what can be said about f(-x)?

Back

If f(x) is an odd function, then f(-x) = -f(x) for all x in the domain.

Tags

CCSS.HSF.BF.B.3