Draw the rough sketch of the curve `y=(x-1)^(2)(x-2)(x-3)^(3)`.

Explanation

To sketch the curve of the function \( y = (x-1)^2 (x-2) (x-3)^3 \), we will follow these steps:

### Step 1: Identify the roots of the function
The roots of the function are found by setting \( y = 0 \):
- \( (x - 1)^2 = 0 \) gives a root at \( x = 1 \) (with multiplicity 2).
- \( (x - 2) = 0 \) gives a root at \( x = 2 \) (with multiplicity 1).
- \( (x - 3)^3 = 0 \) gives a root at \( x = 3 \) (with multiplicity 3).

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