Even and Odd Functions

Front

What is an even function?

Back

A function f(x) is called even if for every x in the domain, f(-x) = f(x). Graphically, even functions are symmetric about the y-axis.

Front

What is an odd function?

Back

A function f(x) is called odd if for every x in the domain, f(-x) = -f(x). Graphically, odd functions have rotational symmetry about the origin.

Front

What is the result of adding two even functions?

Back

The sum of two even functions is also an even function.

Front

What is the result of adding two odd functions?

Back

The sum of two odd functions is also an odd function.

Front

What is the result of adding an even function and an odd function?

Back

The sum of an even function and an odd function is neither even nor odd.

Front

What is the result of multiplying two even functions?

Back

The product of two even functions is also an even function.

Front

What is the result of multiplying two odd functions?

Back

The product of two odd functions is also an even function.

Front

What is the result of multiplying an even function and an odd function?

Back

The product of an even function and an odd function is an odd function.

Front

How can you determine if a function is even or odd using its graph?

Back

A function is even if it is symmetric about the y-axis and odd if it is symmetric about the origin.

Front

What is an example of an even function?

Back

f(x) = x^2 is an example of an even function.