Sure! Here’s a simpler version of your content:

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Yes, all even functions are symmetrical! Let’s break it down:

1. What is an Even Function?
   An even function, like ( f(x) ), is when ( f(-x) = f(x) ) for every ( x ).
   This means for every point on the graph, there is a matching point on the other side of the y-axis, just like a mirror.

2. How to See it on a Graph:
   When you draw an even function:

   • Pick a point, let’s say ( (a, f(a)) ).
   • Now check the point ( (−a, f(−a)) ).
   • If ( f(−a) = f(a) ), the two points will look like they are reflected across the y-axis.

3. Some Common Examples:
   Popular even functions are ( f(x) = x^2 ) and ( f(x) = \cos(x) ).
   Both of these functions show this nice symmetry.

So, when you look at the graph of an even function, think of it as looking into a mirror!

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Hope this helps!