Discuss the continuity of `f(x)=|x|+|x-1| ` at x=0 and x=1.

Explanation

To discuss the continuity of the function \( f(x) = |x| + |x - 1| \) at the points \( x = 0 \) and \( x = 1 \), we will follow these steps:

### Step 1: Define the function piecewise
The function \( f(x) = |x| + |x - 1| \) can be expressed in a piecewise manner based on the values of \( x \):

1. **For \( x < 0 \)**:
\[
f(x) = -x + (-(x - 1)) = -x + 1 + x = 1
...