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| PAGE: 205 | SET: Exercises | PROBLEM: 15 |
Definition of local maximum and local minimum:
1. The number 
is a local maximum value of 
if 
when 
is near 
.
2. The number is a local minimum value of 
if 
when 
is near .
Definition of absolute maximum and absolute minimum:
Let be a number in the domain 
of a function .
1.The number is a absolute maximum value of on 
if 
for all in .
2.The number is a absolute minimum value of on if 
for all in .
The function is 
, 
.
Construct a table for different values of :
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Graph :
1) Draw the co-ordinate plane.
2) Plot the points.
3) Connect the points with line.
.gif)
Observe the graph.
on its domain 
.
Hence, absolute maximum is 
.
Graph of the function 
is
Absolute maximum is 
.
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