What would be a correct example of function notation?

Function notation is a way of expressing a function that clearly defines the relationship between a set of inputs and outputs. In this context, the correct example of function notation is represented by the expression g(x) = x^2 + 4.

This notation indicates that g is a function that takes an input x and produces an output that is the square of x plus 4. The key elements of function notation include:

1. The name of the function (in this case, g), which is followed by parentheses containing the variable (x).

2. An equation that defines the output of the function in terms of the input. Here, the equation shows how to compute the output value by manipulating the input value, x.

Other options do not correctly apply function notation for various reasons. For example, in option A, while f(x) = y + 3 resembles function notation, it is not standard because y is not defined in terms of x, which is necessary for a clear function definition. Option C lacks the necessary function notation structure, as h is defined without the function name format. Option D incorrectly places an equation format that does not fulfill the necessary criteria for defining a function with an input-output relationship.

Thus, option B is distinguished as