Q: Could any linear function represent a line of reflection?

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A set of points forming a straight line.

It could represent a point whose coordinates do satisfy the requirements of the function.

It could be a function or a linear expression.

y0(x) could represent a function of x but usually y(0) represents the function y that is evaluated at x = 0 and so is no longer a function of x but a constant.

You could put the equation in slope-intercept form or in parent linear function or even make a table of values.

The letter V represents a function when drawn on a coordinate plane.

It is a function of the form D = ax + b where a and b are some constants and x is a variable which is linearly related to the demand. x could be the price of the goods in question, or be the price of a complementary good, a substitute, or it could be income, or time. Also, a linear relationship does not mean a causal relationship.

A non-linear graph. It could be a polynomial (of a degree greater than 1), a power function, a logarithmic or trigonometric graph. In fact any mathematical function other than a linear equation.

A=S2... Where A = area, and S = length of one side.

Such as?!?! You have not give us any specific to go on so we couldn't possibly begin to answer that!

One. To be a (non-trivial) linear programming problem both the objective function and the constraints must be linear. If there were no constraints then the objective function could be made arbitrarily large or arbitrarily small. (Think of a line in two-space.) By adding one constraint the objective function's value can be limited to a finite value.

Yes.You could also state that the circumference is directly proportional to the radius. The proportionality constant is (2 pi).