3.1 Introduction to Functions

  • Definition of Function • Independent and Dependent Variables • Functional Notation

In many applications, it is important to determine how two different variables are related, where the value of one variable depends on the other. For example, the experiments performed by Galileo on free-falling objects led to the discovery of the formula s = 16t2 ,  where s is the distance an object falls (in ft) and t is the time (in s). In this case, the distance depends on the time. Another example is that electrical measurements of voltage V and current I through a particular resistor would show that V = kI ,  where k is a constant. Here, the voltage depends on the current. In mathematics, whenever the value of one variable ...

Get Basic Technical Mathematics, 11th Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.