Transcript Title of Lesson - Duy Tan University

DUY TAN UNIVERSITY
Functions
Function: A function is a rule that assigns to each object in a set
A exactly one object in a set B. The set A is called the domain of
the function and the set of assigned objects in B is called the
range.
DUY TAN UNIVERSITY
Example 1:
Let
f ( x)  x  1
a) Find the domain of function.
b) Find
f (2) , f (1), f (0)
Functions
DUY TAN UNIVERSITY
Functions
Example 2:
Suppose the total cost in dollars of manufacturing q units of a
certain commodity is given by the function
C(q)  q3  30q2  500q  200
a) Compute the cost of maufacturing 10 units of the commodity.
b) Compute the cost of maufacturing the 10th unit of the commodity.
DUY TAN UNIVERSITY
Functions
Example 3:
An efficiency study of the morning shift at a certain factory
indicates that an average worker who arrives on the job at 8:00
A.M will have assembled
f ( x)  x3  6x2  15x
television sets x hours later.
a) How many sets will such a worker have assembled by 10:00 A. M?
b) How many sets will such a worker have assemble between 9:00 A.
M and 10:00 A.M?
DUY TAN UNIVERSITY
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