The function $f(x) = |x - 2| + |2 - x|$ can be simplified.

Note that:

$|x - 2| = |2 - x|$

This is because the absolute value function ignores the sign of its argument, and $x - 2$ and $2 - x$ are negatives of each other. Therefore:

$f(x) = |x - 2| + |2 - x| = 2|x - 2|$

Thus, the redefined function is:

$f(x) = 2|x - 2|$

This is the simplified form of the function.

Would you like a detailed explanation on how to further analyze or graph this function?

Here are 5 related questions you might find helpful:

1. What is the behavior of the function $f(x) = 2|x - 2|$ as $x$ approaches 2?
2. How do you graph $f(x) = 2|x - 2|$?
3. How does the function change if we modify the constant inside the absolute value?
4. Can this function be represented piecewise?
5. How does this function compare to $f(x) = |x|$?

Tip: Absolute value functions create "V-shaped" graphs, symmetric around the point where the argument inside the absolute value equals zero.