Objectives: The basic object of study in calculus is a function. We will start with the
definition of a function and examine the representation in four modes: symbolic, numerical, graphical
and verbal. The domain and range of a function are also defined; exercises on finding the domain of a
function are provided.
Working through these materials, the student should be able
 to understand the four representations of a function;
 to recognize a function in each of these representations;
 to use function notation;
 to calculate the domain of a function; and
 to determine whether a given number is in the range of a function.
Modules:
DEFINITION.
A function is a rule or correspondence which
associates to each number x in a set A a unique number f(x) in a set B.
The set A is called the domain of f and
the set of all f(x)'s is called the range of f.


 Discussion
[Using Flash]
 Four representations of a function:
 Symbolic or algebraic
Discussion [Using Flash]
 Numerical
Discussion [Using Flash]
 Graphical
Discussion [Using Flash]
 Verbal
Discussion [Using Flash]
 Drill on finding the domains of functions.