Find the maximum and the minimum values of `f(x)=|x+3|` for all `x in R` , if any.

Explanation

To find the maximum and minimum values of the function \( f(x) = |x + 3| \) for all \( x \in \mathbb{R} \), we can follow these steps:

### Step 1: Understand the function
The function \( f(x) = |x + 3| \) represents the absolute value of the expression \( x + 3 \). The absolute value function outputs the non-negative value of its input.

### Step 2: Determine the critical point
The expression inside the absolute value, \( x + 3 \), equals zero when:
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