LECTURE 2 CQMS702 CHAPTER 2 FUNCTIONS,LIMITS AND THE DERIVATIVE

Calculus for Business Dr. Changping Wang
LECTURE 2 CQMS702 CHAPTER 2 FUNCTIONS,LIMITS AND THE
DERIVATIVE
2.1 Function




A function is a rule that assigns to each element in a set A one and
only one element in a set B.




The set A is called the domain of the function.
The set B is called the co-domain of the function.
The set comprising all the values assumed by y  f (x) as x takes on
all possible values in its domains is called the range of the function
f.




Session 2 Page 1

,Calculus for Business Dr. Changping Wang

Example 1.
An open box is to be made from a rectangular piece of cardboard
16 inches long and 10 inches wide by cutting away identical
squares(x inches by x inches) from each corner and folding up the
resulting flaps. Determine an expression that gives the volume V
of the box as a function of x. What is the domain of the function V.




Session 2 Page 2

, Calculus for Business Dr. Changping Wang

Example 2. 
x2
Find the domain of the function F (x)   2 6  x  x 2  3.
x 1
2




Session 2 Page 3