For the following functions write the piecewise definition and draw the graph
(i) `f(x)=" sgn "(log_(e)x) " (ii) "f(x) = " sgn "(sin x)`

Explanation

To solve the given problem, we will define the piecewise functions for both parts (i) and (ii) and then describe how to graph them.

### Step 1: Define the piecewise function for \( f(x) = \text{sgn}(\log_e x) \)

1. **Identify the conditions for the logarithm**:
- The logarithm \( \log_e x \) is defined for \( x > 0 \).
- \( \log_e x > 0 \) when \( x > 1 \).
- \( \log_e x = 0 \) when \( x = 1 \).
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