Number of critical point of the function f(X) =x+`sqrt(|x|)` is _______.

Explanation

To find the number of critical points of the function \( f(x) = x + \sqrt{|x|} \), we will follow these steps:

### Step 1: Define the function based on the value of \( x \)
The function \( f(x) \) can be expressed differently depending on whether \( x \) is non-negative or negative:
- For \( x \geq 0 \):
\[ f(x) = x + \sqrt{x} \]
- For \( x < 0 \):
\[ f(x) = x + \sqrt{-x} \]