A function f is an ___________ function if for all x in the domain of f,

f(-x) = f(x).

A function \( f \) is an **even** function if for all \( x \) in the domain of \( f \),

\[ f(-x) = f(x). \]

Would you like more details or have any questions?

Here are 5 related questions you might want to ask:
1. What is an odd function?
2. Can you provide examples of even functions?
3. How do you determine if a function is even or odd?
4. What are the properties of even functions?
5. Can a function be both even and odd?

**Tip:** For a function to be even, its graph must be symmetric with respect to the y-axis.

Explore the definition and properties of even functions in mathematics. Learn how to identify even functions with examples and understand their symmetry properties. Suitable for high school students and those studying advanced functions.

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