Define odd function.
Understand the Problem
The question is asking for a definition of an odd function, which is a concept from mathematics related to functions and their symmetry properties. We will explain the characteristics that determine if a function is classified as odd.
Answer
An odd function is a function f(x) that satisfies f(-x) = -f(x) for all x in its domain.
An odd function is a function f(x) that satisfies the condition f(-x) = -f(x) for all x in its domain.
Answer for screen readers
An odd function is a function f(x) that satisfies the condition f(-x) = -f(x) for all x in its domain.
More Information
Odd functions are symmetric with respect to the origin. Examples include f(x) = x^3 and f(x) = sin(x).
Tips
A common mistake is to confuse odd functions with even functions. Remember that for even functions, f(-x) = f(x).
Sources
- Odd and Even Functions - mathsisfun.com
- Introduction to Odd and Even Functions - khanacademy.org
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