Find the interval in which the function f given by `f(x)=x^(2)-2x+3` is
(a) Strictly increasing
(b) Strictly decreasing

Explanation

To solve the problem of finding the intervals in which the function \( f(x) = x^2 - 2x + 3 \) is strictly increasing and strictly decreasing, we will follow these steps:

### Step 1: Find the first derivative of the function
The first step is to differentiate the function \( f(x) \).

\[ f'(x) = \frac{d}{dx}(x^2 - 2x + 3) \]
...