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.

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.

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).

Front

Back

The function is neither even nor odd.

Front

Back

The function is neither even nor odd.

Front

Back

The function is odd.

Front

What is the symmetry of even functions?

Back

Even functions are symmetric about the y-axis.

Front

What is the symmetry of odd functions?

Back

Odd functions are symmetric about the origin.

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.

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.