Draw the graph of the function ` f(x) =|x|+| x-1|`

Explanation

To draw the graph of the function \( f(x) = |x| + |x - 1| \), we will analyze the function in different intervals based on the properties of absolute values. The absolute value function behaves differently depending on whether the input is positive or negative.

### Step-by-Step Solution:

1. **Identify Critical Points**:
The critical points for the function \( f(x) = |x| + |x - 1| \) occur where the expressions inside the absolute values change sign. This happens at:
- \( x = 0 \) (where \( |x| \) changes)
- \( x = 1 \) (where \( |x - 1| \) changes)
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