Find the range of the following
(i) `f(x)="sgn"(x^(2)) " (ii) "f(x)="sgn"(x^(2)-2x+3)`

Explanation

To find the range of the given functions, we will analyze each function step by step.

### Part (i): \( f(x) = \text{sgn}(x^2) \)

1. **Understanding the Signum Function**:
The signum function, denoted as \( \text{sgn}(x) \), is defined as:
- \( \text{sgn}(x) = 1 \) if \( x > 0 \)
- \( \text{sgn}(x) = 0 \) if \( x = 0 \)
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