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The concept of function is one of the basic in mathematics. A function is the dependence of one variable on another. In other words, the relationship between quantities. Any physical law, any formula reflects such an interconnection of quantities. For example, the formula p = pgh is the dependence of the fluid pressure p on the depth h.
Another definition can be given. A function is a specific action on a variable. This means that we take the value of x, do a certain action with it (for example, square it or calculate its logarithm) - and we get the value of y.
Let's give one more definition of a function - that which is most often found in textbooks. A function is a correspondence between two sets, with each element of the first set corresponding to one and only one element of the second set.
The function can be specified using a formula or graphically - using a graph.