Formulae can enable you to make mathematical statements for the whole set of values of the arguments (the domain) at the same time instead of repeating the statement for each value.
A piecewise defined function is a function which is defined symbolically using two or more formulas
Differential Calculus is to take the derivative of the function. It is important as it can be applied and supports other branches of science. For ex, If you have a velocity function, you can get its acceleration function by taking its derivative, same relationship as well with area and volume formulas.
Your age is a linear function (of time).
There are different types of speed formulas: Speed= Wavelength(frequency) or Speed= Distance/Time
To measure time