1.2 Even 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). Example: f(x) = x^2.

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). Example: f(x) = x^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. Example: f(x) = x^2 + x.

Front

Back

Neither.

Front

Back

Odd.

Front

What is the graphical representation of an even function?

Back

An even function is symmetric about the y-axis.

Front

What is the graphical representation of an odd function?

Back

An odd function is symmetric about the origin.

Front

If f(x) = 2x^4 - 3x^2 + 1, is it even, odd, or neither?

Back

Even.

Front

If f(x) = x^5 - 4x, is it even, odd, or neither?

Back

Odd.

Front

What is the test for determining if a function is even?

Back

Check if f(-x) = f(x) for all x in the domain.