## even function symmetric to what?

### An even function is a mathematical function that has a symmetry around the y-axis

An even function is a mathematical function that has a symmetry around the y-axis. It means that if you reflect the function’s graph through the y-axis, it remains unchanged. In other words, if you replace every x with -x in the function’s equation, the resulting equation is still the same.

For an even function f(x), it can be represented as f(x) = f(-x) for all values of x. This property implies that the function is symmetric with respect to the y-axis.

To visualize it, imagine a mirror standing vertically at the y-axis. If you place an even function’s graph in front of the mirror, the reflection in the mirror will look exactly the same as the graph originally presented.

Some examples of even functions are:

– f(x) = x^2 (parabola)

– g(x) = |x| (absolute value)

– h(x) = cos(x) (cosine function)

##### More Answers:

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