Show that the function f defined by `f(x)=|1-x+x|,` where x is any real number, is a continuous function.

Explanation

To show that the function \( f(x) = |1 - x + x| \) is continuous, we can simplify the expression first and then analyze its continuity.

### Step 1: Simplify the Function
The function can be simplified as follows:
\[ f(x) = |1 - x + x| = |1| = 1 \]
This simplification shows that \( f(x) \) is a constant function.
...