Using MATLAB, generate a plot that displays the behavior of various mathematical functions with different properties. Plot the following functions on the same graph:

1. y=log(x+1)
2. y=sqrt(x)
3. y=e^(x)
4. y=1/(x^2+1)

Each function should be represented by a different line style and color. Adjust the x-axis range and the number of points for better visualization. Provide appropriate axis labels, a title, and a legend to distinguish each curve.