An even function is graphically symmetric over the line x=0. Analytically, it has the property that f(-x) = f(x). Fill in the blank after the word property.
Understand the Problem
The question is asking about the analytical property of an even function, which is typically that f(-x) = f(x) for all x in the domain of the function. The user is seeking to fill in the blank with this property.
Answer
f(-x) = f(x)
The final answer is 'f(-x) = f(x)'.
Answer for screen readers
The final answer is 'f(-x) = f(x)'.
More Information
An even function is known for its symmetry over the y-axis, meaning that for every point (x, y) on its graph, there is also a point (-x, y). This aligns with the analytical property f(-x) = f(x).
Tips
A common mistake is confusing even functions with odd functions. Remember, for even functions, the property is f(-x) = f(x).
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