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| PAGE: 52 | SET: Exercises | PROBLEM: 1 |
The function is 
.
The graph of greatest integer function has the following characteristics.
Domain:
The domain of the function in interval notation: 
.
Domain in set notation: 
.
Range:
The range of the function in interval notation: .
Range in set notation: 
.
Intercepts:
The graph has one 
- intercept at 
and 
-intercepts for 
.
Symmetry:
The graph has no symmetry. Therefore, 
is neither odd nor even.
Continuity:
The graph has a jumped discontinuity for 
.
End behavior:
and 
.
Increasing- Decreasing:
The graph is constant for 
.
The graph increases for
Domain: , Range: .
- intercept at and -intercepts for .
The graph has no symmetry.
The graph has a jumped discontinuity for .
and .
The graph is constant for .
The graph increases for .
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