State whether the following functions can represent wave motion ?

Options

A. `y=sqrt((x-vt))`
B. `y=(x-vt)^2`
C. `y=A(x-vt)`
D. `y=A log (x+vt)^3`

Explanation

To determine whether the given functions can represent wave motion, we need to analyze each function based on the criteria for wave motion. A function representing wave motion must be continuous, single-valued, harmonic, and finite at every point.

### Step-by-Step Solution:

1. **Analyze Option 1: \( y = \sqrt{1 + x} \)**
- Substitute \( x = 1 \) and \( t = 0 \):
\[
y = \sqrt{1 + 1} = \sqrt{2}
...