Precalculus 2014

 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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