If `f(x)=|x+1|-1`, what is the minimum value of f(x) ?

Explanation

To find the minimum value of the function \( f(x) = |x + 1| - 1 \), we can follow these steps:

### Step 1: Analyze the Absolute Value
The function involves an absolute value, which means we need to consider the expression inside the absolute value, \( x + 1 \). The absolute value function changes its behavior based on whether the expression inside is positive or negative.

### Step 2: Determine Critical Points
The expression \( x + 1 = 0 \) gives us the critical point:
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